To see subtitles in other languages: Click on the gear symbol under the video, then click on "subtitles." Then select the language (You may need to scroll up and down to see all the languages available). --To change subtitle appearance: Scroll to the top of the language selection window and click "options." In the options window you can, for example, choose a different font color and background color, and set the "background opacity" to 100% to help make the subtitles more readable. --To turn the subtitles "on" or "off" altogether: Click the "CC" button under the video. --If you believe that the translation in the subtitles can be improved, please send me an email.
1) A very clear and understandable diagram 2) Great way of animation. 3) Awesome way of teaching. 4) A good mound of effort 5) Subtitles in all languages.. And much more!!! I can't just thank you enough. Thanks to help and guide...
extra: if the result of the cross product is 0 (null vector), you have two parallel vectors if the result of the dot product is 0, then you have two perpendicular vectors God Bless you all.
Eugene, I don't think you'd ever expect to hear someone say this, but your videos have helped me fight depressive thoughts and anxiety. I was once caught in an deterministic perspective on the world and lived a life thinking my existence had little impact. Then I stumbled upon your quantum mechanics video and it gave me so much hope and wonder. I realized still have so much more to learn about this reality and that our very existence impacts the world around us. Your videos explain sciencific concepts incredibly well and make them so interesting you have actually made me consider taking up a career in physics. Thank you, I appreciate your work greatly. You have impacted my life and brought out the inner child in me.
+Aquas Studios, I am glad to hear that my videos have had such a profound influence on you. It is nice to know that my work is having a positive impact, and thanks for the feedback. To the best of our knowledge, according to quantum mechanics, it now appears that we do not live in a deterministic universe. I plan to soon have several more videos dealing with quantum mechanics, and I hope you will enjoy them too.
@@allankaige7364 It's been good, I went on to get my bachelor's of science in computer engineering. At the time I was a high schooler that was going through a little existential crisis.
If you are wondering, the name of the song at the end is called William Tell Overture by Rossini. Please listen up the long one and not just the finale
It's the best thing when I am searching for an animation and find my way back to this channel :) They make everything so much easier to visualize and understand
Still dont get the idea behind the Dot and Cross product.. I'll just memorized the formula, then solve the problem, get an A+, never asked why, and go on with my life..
@@cinquine1 Same, I'm studying a degree in engineering and we're looking at the cross product between instantaneous angular velocity and perpendicular radius to find instantaneous linear velocity, and I have just realised are perpendicular to each other vectorially. So I guess I _do_ have to know about cross products after all! I was thinking to myself, "goddamit...." Although..I've now found out it makes the whole process sooo much easier to understand calculating this all _vectorially_ using numerical unit vectors rather than taking a geometrical approach using their magnitudes instead (lots of confusing lines and trigonometry :/ )...which is why nowadays I'm actually starting to appreciate cross products a lot more than I had done in the past. That's something I never thought I'd say cause I found them hellish to understand in further maths. But they're actually fairing out to be _extremely_ useful when finding perpendicular magnitudes that are in a three dimensional space with each other...such is the case with angular motion. You just have to know about this fact beforehand. All you have to do is arrange two perpendicular vectors in a matrix with their unit vectors above, and find the determinant of this, for a third vector that's perpendicular to both. After that I was wondering why tf I never did this in the past cause it was so straightforward compared to how I was doing it with trig... Saves time learning a bunch of different formulas when all you have to know is that (with unit vectors) : i = j *x* k ; j = k *x* i ; k = i *x* j ; and they are not commutative, so the reverse is the negative of those. Eureka moment for me XD (please tell me if I'm wrong about this :S )
I have been doing dot products for years now, no professors have ever explained it this well, and I think visually, so because no professors explained it, in my head I always said it was "how much the vectors are of each other." But this video helped me understand so much more.
Hahahahhaha I cracked up so hard when the dramatic instrumental music came when revealing the cross product direction. Never thought such an informative thing would do that. Now I'll definitely replay that moment in my head during the exam.
This is the absolute best video I've ever seen that defines the dot product. All of the conceptual stuff that other videos try to explain pales in comparison to the simplicity of this visualization.
Don't stop you keep blowing my mind with simple stuff I have been using cross products for years and never realized it was just the area between the vectors
Your other videos have been very explanatory. I like that they assume a novice viewer. Unfortunately I'm not following this one. It might help if you could detail some applications...like the time/speed/distance application in your calculus video, that made it clear how such a thing is used.
This is a fantastic video! No waffle. Not too slow, not too quick. Just perfect. Thank you for these amazing videos. They help me visualise what the hell is going on underneath all those ridiculous maths problems I solve haha 😅
I just loved this video. I found the books to be too theoretical and never understood this concept until I watched this video. Definitely built my concept for lifetime. Thanks a lot 👏
this may be trivial to many, but to me, who only needs to remember crossproduct and dotproduct basics every 5 years or so, not doing vectors in that much detail usually using a blackbos, its easy to get your memories confused without such good visualization.
Another beautiful visualization! These videos should be used in college as well as in universities!! And, for totally unknown reasons, I would like to see a behind-the-scenes. Making videos like this must be a daunting task.
Man, nice music selection like Rossini's William Tell Overture with a beautiful animation for a math explanation. You got an inmediate new suscriber in myself!
When i heard the title of video i remembered the video about electromagnetism and gyroscope i guess :) Thanks eugene . Without you i would have stuck in physics very badly :)
This was so superb....at the end of the video I felt dots connecting in my brain and at the very same moment the music was playing in the background!!!
You videos were awesome like unfolding mathematics in to a movie , it makes looking outside world in terms of math . I thank you so much for your videos ,love from india
Thank you so much!!! I've been struggling to visualize the dot product and cross product for the longesttt time. This animation helped me so much! As well as the circuit video I saw the other day!
You know, in high school I've always dreamed about how great it'd be if there were people knowledgeable about physics who could also animate complex topics they were discussing because there are some things that are hard to visualize. Can you imagine how cool a physics and animation major would be? :) There's also a lack of animated physics videos, but here you are animating physics videos very well and fulfilling one of my dreams! :D I'm very proud of you and the work that you do, and I'm forever grateful. I wish you the best in your endeavors. :)
Explained Well, teacher! However, let me summarize the video for further clarification. CROSS PRODUCT 1) The MAGNITUDE of the vector resulted in cross product is the AREA OF PARALLELOGRAM formed by the two vectors. 2) The DIRECTION of the vector resulted in cross product is always PERPENDICULAR to the original vectors. 3) A*B = -B*A (Reversing the order of the original vectors changes only the direction of the final vector) DOT PRODUCT 1) The MAGNITUDE of the vector resulted in dot product is the PRODUCT of the length of first vector multiplied by the length of PROJECTION of second vector on the first vector. 2) No vector is resulted in dot product; it is always a scalar number. 3) A.B = B.A (Reversing the order of the original vectors do not change the final scalar value)
With the dot product, the component of the slanted vector must be multiplied by the length of the other original vector. The above video seems to indicate that the dot product is just the component of the slanted vector.
This was really helpful to visualize, but I'm still confused as to why multiplying 2 vectors results in a third one that forms a 90 degree angle from where the 2 vectors connect. Why does it happen?
This is what has been bugging me since i was introduced to vectors in school. This is my biggest lack of understanding in the fundamentals of physics. I have tried a lot but never found q clear explaination to this. So i have convinced myself that this rule is something that humans have agreed upon by conducting experimentation and finding results that just fit this type of calculation, and no one came up with it on thier own. While the dot product is very obvious and can be understood by doing your own thought experiments.
when considering the second arrow (segment on dot product) the length of that side of the triangle is simply the x component of the the second arrow vector.
Liked the presentation. If you assume that the same reference frame and there are two sets of vectors that are congruent with each other but in opposite directions, they would sum to zero. Seems trivial. Like, water being pumped through tubes or hoses are physically next to each other? But you can fool around with that setup. You can contrive to tilt one hose with water flowing through it, 20 or so degrees when referenced to the other curved hose, say and as the previous computed vector nulling goes away and there then might be seen some thrust as per Huygens' equation F = ma = (mv^2)/r. ... tubing with water flowing through it, draped and pined to a 20 degree wedge shape ---- folding a circle in half. Sort of trivial. I wonder if NASA knows of this trivial exercise? See: 'Traveling Through Space --- Without Rockets: 3rd Ed.' by James G. Parsons.
Just a comment: The red arrow hasn't the same lenght of the base of the triangle. The red arrow is the dot product and the lenght of the base of the triangle is equal to the lenght of the projection of the green vector on the line of the blue vector. Therefore, the lenght of the projection times the lenght of the blue vector is equal to the dot product. (the red arrow)
EDIT: oh it's just a scalar. got confused from so much amazing visual animation :P -isn't the dot product commutative? if it were then the resulting vector should be the same, but according to the animation it follows (is alligned with) only one of the original vectors (RED vector follows A not B). I understand the magnitude is the same, a.b.cosine, but the geometrical vector...? i'm confused-
You can help translate this video by adding subtitles in other languages. To add a translation, click on the following link: ruclips.net/user/timedtext_video?v=h0NJK4mEIJU&ref=share You will then be able to add translations for all the subtitles. You will also be able to provide a translation for the title of the video. Please remember to hit the submit button for both the title and for the subtitles, as they are submitted separately. Details about adding translations is available at support.google.com/youtube/answer/6054623?hl=en Thanks.
To see subtitles in other languages: Click on the gear symbol under the video, then click on "subtitles." Then select the language (You may need to scroll up and down to see all the languages available).
--To change subtitle appearance: Scroll to the top of the language selection window and click "options." In the options window you can, for example, choose a different font color and background color, and set the "background opacity" to 100% to help make the subtitles more readable.
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I like your explanation 😉😁
I can't find gear symbols under this video
I love the terrifying climax of the music when they show the hand
it makes me scared of math
It's like they showed the ultimate universal secret. It's in the HAND!
NicksDomain101 Yup. Excellent but awkward.
Thanks, I spilled my drink laughing at your comment.
This music makes me feel like I am some Mathematicians thinking hard of a very tricky problem in 18th century.
Came for cross product, left with existential crisis.
Hahaha legend
RMSVideos oh god
Same bro, same
legend
Lol
This video has such an ominous energy and I was not prepared for it.
1) A very clear and understandable diagram
2) Great way of animation.
3) Awesome way of teaching.
4) A good mound of effort
5) Subtitles in all languages..
And much more!!!
I can't just thank you enough. Thanks to help and guide...
Thanks for the compliments.
Marco,
4) Amount of effort. Not mound of effort.
@@danielstewart3507 Yeah 😅
extra:
if the result of the cross product is 0 (null vector), you have two parallel vectors
if the result of the dot product is 0, then you have two perpendicular vectors
God Bless you all.
Known as orthogonal vectors too :)
If both of em are zero then?
@@ashishkumarsharma1323 they both cannot be zero
Oh thanks...
@@Ghost____Rider of course they can, if one of the vector is zero
The music is like: Harry Potter and the Vectors calculations chamber.
XD
ROTFL
True
Ok
Eugene, I don't think you'd ever expect to hear someone say this, but your videos have helped me fight depressive thoughts and anxiety. I was once caught in an deterministic perspective on the world and lived a life thinking my existence had little impact. Then I stumbled upon your quantum mechanics video and it gave me so much hope and wonder. I realized still have so much more to learn about this reality and that our very existence impacts the world around us. Your videos explain sciencific concepts incredibly well and make them so interesting you have actually made me consider taking up a career in physics. Thank you, I appreciate your work greatly. You have impacted my life and brought out the inner child in me.
+Aquas Studios, I am glad to hear that my videos have had such a profound influence on you. It is nice to know that my work is having a positive impact, and thanks for the feedback. To the best of our knowledge, according to quantum mechanics, it now appears that we do not live in a deterministic universe. I plan to soon have several more videos dealing with quantum mechanics, and I hope you will enjoy them too.
Hows it been going for you? Its been 7 years. I hope it's all gone very well.
@@allankaige7364 It's been good, I went on to get my bachelor's of science in computer engineering. At the time I was a high schooler that was going through a little existential crisis.
@@allankaige7364 +1, @belliumm, where has your curiosity taken you?
How’s it going now brdrrr
If you are wondering, the name of the song at the end is called William Tell Overture by Rossini. Please listen up the long one and not just the finale
the ending song was perfect
the song perfectly matched the topic=terrifying
The music was shocking, put some humorous light on this video. Loved it :P
She was serious
It's the best thing when I am searching for an animation and find my way back to this channel :) They make everything so much easier to visualize and understand
If you like this video, you can help more people find it in their RUclips search engine by clicking the like button, and writing a comment. Thanks.
I like that this was voiced over by an anime voice actress.
Physics Videos by Eugene Khutoryansky use less
@@Higgs314 then what should i say?
BGM is so irritating
@@Higgs314 They have taught, dot product wrong, dont just believe all youtube videos
the ending music is so epic!
3:53 when you finally realize you are One with the force.
No comments
You're freking hilarious 😂
that moment when this 4 minutes video taught me about vector better than my 1 hour physic lecture....
i didn't expect such good use of music in a physics vid .....great job
shadow claw But this is basically maths.
This is math you moron
I'm a very visual person and could not understand why we use dot and cross product!!! this video literally saved me thank you !!!!!
Glad my video was helpful. Thanks.
Still dont get the idea behind the Dot and Cross product.. I'll just memorized the formula, then solve the problem, get an A+, never asked why, and go on with my life..
and then forget it a year or two later*
Me, until it became important. Then I had to go back and actually learn it :/
all hail youtube for actually explaining shit
@@cinquine1 Same, I'm studying a degree in engineering and we're looking at the cross product between instantaneous angular velocity and perpendicular radius to find instantaneous linear velocity, and I have just realised are perpendicular to each other vectorially. So I guess I _do_ have to know about cross products after all! I was thinking to myself, "goddamit...."
Although..I've now found out it makes the whole process sooo much easier to understand calculating this all _vectorially_ using numerical unit vectors rather than taking a geometrical approach using their magnitudes instead (lots of confusing lines and trigonometry :/ )...which is why nowadays I'm actually starting to appreciate cross products a lot more than I had done in the past. That's something I never thought I'd say cause I found them hellish to understand in further maths. But they're actually fairing out to be _extremely_ useful when finding perpendicular magnitudes that are in a three dimensional space with each other...such is the case with angular motion. You just have to know about this fact beforehand. All you have to do is arrange two perpendicular vectors in a matrix with their unit vectors above, and find the determinant of this, for a third vector that's perpendicular to both. After that I was wondering why tf I never did this in the past cause it was so straightforward compared to how I was doing it with trig...
Saves time learning a bunch of different formulas when all you have to know is that (with unit vectors) : i = j *x* k ; j = k *x* i ; k = i *x* j ; and they are not commutative, so the reverse is the negative of those. Eureka moment for me XD (please tell me if I'm wrong about this :S )
@@Dragoneer what are you talking about. i don't understand
This is the best illustration humanly possible!
+Fakher Halim, thanks for the compliment.
Super helpful. Thank you!
I am glad my video is helpful. Thanks.
You here?!
WAIT TD BRICKS HERE?
I have been doing dot products for years now, no professors have ever explained it this well, and I think visually, so because no professors explained it, in my head I always said it was "how much the vectors are of each other." But this video helped me understand so much more.
Thanks for the compliment about my explanation. I am glad it was helpful.
Loved the graphics along with blasted music to make sure viewer is attentive. Speaker voice gets the vote too!
This might be one of the most terrifying videos I have ever seen. When the music climaxes at the hand my heart dropped into my gut.
This was the most ominous way I've learned about the dot product and cross product
From the last 3 years I am studying about DOT and CROSS product but I today visualize it.. That's very nice and useful video... Thanks alot...
Thanks. I am glad my video was useful.
Hahahahhaha I cracked up so hard when the dramatic instrumental music came when revealing the cross product direction. Never thought such an informative thing would do that. Now I'll definitely replay that moment in my head during the exam.
This is the absolute best video I've ever seen that defines the dot product. All of the conceptual stuff that other videos try to explain pales in comparison to the simplicity of this visualization.
Thanks for the compliment about my video.
Wonderful video recommended by my physics teacher pure gold
Killer visulaisation
I am glad you liked my video. Thanks.
@@EugeneKhutoryansky welcome Ma'am
This is the best explanation on RUclips!
Thanks for the compliment about my videos.
Don't stop you keep blowing my mind with simple stuff I have been using cross products for years and never realized it was just the area between the vectors
+tpespos, glad you found this interesting. More videos are on their way.
The background music is William Tell Overture, and the video basically talks about ARROWS. I UNDERSTOOD THAT REFERENCE
Your other videos have been very explanatory. I like that they assume a novice viewer. Unfortunately I'm not following this one. It might help if you could detail some applications...like the time/speed/distance application in your calculus video, that made it clear how such a thing is used.
This is a fantastic video! No waffle. Not too slow, not too quick. Just perfect. Thank you for these amazing videos. They help me visualise what the hell is going on underneath all those ridiculous maths problems I solve haha 😅
Thanks for the compliments.
The music is William Tell Overture (Horse Race song)
Ur method of understanding concept is best
Thanks for the compliment.
Thank you so much... the language barrier and lack of proper explanation from my physics professor had my whole class confused
I hope I'm not the only person that cried watching this video.
Underrated video with an OG climax
I just loved this video. I found the books to be too theoretical and never understood this concept until I watched this video. Definitely built my concept for lifetime. Thanks a lot 👏
I am glad my video was helpful. Thanks.
Thank you, I was having a lot of difficulty in understanding the right hand rule, that demonstrated it perfectly!
this may be trivial to many, but to me, who only needs to remember crossproduct and dotproduct basics every 5 years or so, not doing vectors in that much detail usually using a blackbos, its easy to get your memories confused without such good visualization.
Another beautiful visualization! These videos should be used in college as well as in universities!!
And, for totally unknown reasons, I would like to see a behind-the-scenes. Making videos like this must be a daunting task.
+Pär Johansson, thanks for the compliment. I would have to think about how to do a behind the scenes video. Thanks again.
geez that ending... with the dramatic music, and the awkward hand... kinda scary ngl
sir you provide absolutely concept that others do not....it awesome....I loved it
Thanks.
Physics + Mathematics = One new subscriber.
+Sausage Biscuit, thanks. I am glad to have you as a subscriber.
No, thank you. :)
aren't you a blessing.
Humbly grateful madame Eugene
Thanks.
I started understanding the behavior of universe by the concept of your videos.. thanks.
the most dramatic educational video on youtube.
Man, nice music selection like Rossini's William Tell Overture with a beautiful animation for a math explanation. You got an inmediate new suscriber in myself!
Glad to have you as a subscriber. Thanks.
Damn. I wanted to check my latest algorithmic ideas for sanity's sake, but stayed for the uncanninness.
I watched a bunch of videos on this subject and this was the first that made sense.
Mam you are a best teacher in the whole world
Thanks for the compliment.
As a visual learner, thank you for this awesome visual explanation!
+roux ga roux, you are welcome, and thanks for the compliment about my explanation.
There are no visual learners. Periodt.
When i heard the title of video i remembered the video about electromagnetism and gyroscope i guess :)
Thanks eugene . Without you i would have stuck in physics very badly :)
+Shirshak Bajgain, glad to hear that my videos have been helpful. Thanks.
Thanks for using the captions
Really helped me
Because I'm not good at English
The best explanation i have ever seen!
Thanks for the compliment. I am glad you liked my explanation.
Madam ur explanation has just given me the mere intro.You must have explain with the help of real examples
This was so superb....at the end of the video I felt dots connecting in my brain and at the very same moment the music was playing in the background!!!
Your explanations are always very clear. Please continue making videos!
+Steven Karma, thanks for the compliment. More videos are on the way.
The dot product visualization exploded my brain. I never knew it was this simple.
Wow I hadn't seen this link between particle handedness before now. Glad I found your channel
saw the comment from you and 'It's Okay To Be Smart' on 'but did you die tho.' why are science RUclipsrs so in love with that video?
Thank you. For an idiot like me, this way of teaching is much better.
No one told me these logical expressions in school... Thank you.
You are welcome and thanks.
Excellent video, this is how it should be taught in physics classes
Thanks. I am glad you liked my video.
This 4 min clip is what i wanted when i was in school. Things would have been so easier to understand. Great that kids have access to this these days.
You videos were awesome like unfolding mathematics in to a movie , it makes looking outside world in terms of math . I thank you so much for your videos ,love from india
Thanks. I am glad you like my videos.
0:22 Wait, how could the 'length' of arrow representing the cross product be always equal to the 'area' of the parallelogram ?
it’s the numerical values are that equal
Thanks Clare.
I just searched for a demonstration
Thank God this video recommended for me
I am glad you liked my video.
Подозреваю что Вы и по-русски понимаете. Зачётное видео! Респект! Аудиоряд придаёт особую торжественность. :)
so good thanks a lot...wished I knew about ur videos earlier. I wouldn't have faced any problem then...
Thanks. I am glad you like my videos.
Thank you so much!!! I've been struggling to visualize the dot product and cross product for the longesttt time. This animation helped me so much! As well as the circuit video I saw the other day!
Thanks. I am glad my videos are helpful.
You know, in high school I've always dreamed about how great it'd be if there were people knowledgeable about physics who could also animate complex topics they were discussing because there are some things that are hard to visualize. Can you imagine how cool a physics and animation major would be? :) There's also a lack of animated physics videos, but here you are animating physics videos very well and fulfilling one of my dreams! :D I'm very proud of you and the work that you do, and I'm forever grateful. I wish you the best in your endeavors. :)
Explained Well, teacher! However, let me summarize the video for further clarification.
CROSS PRODUCT
1) The MAGNITUDE of the vector resulted in cross product is the AREA OF PARALLELOGRAM formed by the two vectors.
2) The DIRECTION of the vector resulted in cross product is always PERPENDICULAR to the original vectors.
3) A*B = -B*A (Reversing the order of the original vectors changes only the direction of the final vector)
DOT PRODUCT
1) The MAGNITUDE of the vector resulted in dot product is the PRODUCT of the length of first vector multiplied by the length of PROJECTION of second vector on the first vector.
2) No vector is resulted in dot product; it is always a scalar number.
3) A.B = B.A (Reversing the order of the original vectors do not change the final scalar value)
With the dot product, the component of the slanted vector must be multiplied by the length of the other original vector. The above video seems to indicate that the dot product is just the component of the slanted vector.
Very helpful for me and others so pls make more and more video on other topics
Music gave me flashbacks to the funeral of my great-grandfather, back in the Victorian era. Man those were some sad days.
Superb presentation and explained in a simple manner.
Thanks for the compliment.
This was really helpful to visualize, but I'm still confused as to why multiplying 2 vectors results in a third one that forms a 90 degree angle from where the 2 vectors connect. Why does it happen?
This is what has been bugging me since i was introduced to vectors in school. This is my biggest lack of understanding in the fundamentals of physics. I have tried a lot but never found q clear explaination to this. So i have convinced myself that this rule is something that humans have agreed upon by conducting experimentation and finding results that just fit this type of calculation, and no one came up with it on thier own. While the dot product is very obvious and can be understood by doing your own thought experiments.
when considering the second arrow (segment on dot product) the length of that side of the triangle is simply the x component of the the second arrow vector.
This was.. memorable. Thank you!
that plot twist music at the end was perfect
Liked the presentation. If you assume that the same reference frame and there are two sets of vectors that are congruent with each other but in opposite directions, they would sum to zero. Seems trivial. Like, water being pumped through tubes or hoses are physically next to each other? But you can fool around with that setup. You can contrive to tilt one hose with water flowing through it, 20 or so degrees when referenced to the other curved hose, say and as the previous computed vector nulling goes away and there then might be seen some thrust as per Huygens' equation F = ma = (mv^2)/r. ... tubing with water flowing through it, draped and pined to a 20 degree wedge shape ---- folding a circle in half. Sort of trivial. I wonder if NASA knows of this trivial exercise? See: 'Traveling Through Space --- Without Rockets: 3rd Ed.' by James G. Parsons.
Best video on cross product and dot product
+Rakesh Prasad, thanks for that really great compliment.
I just found your channel today. I think I'm going to be a lifetime subscriber. :]
+Seth Connell, I am glad you found my channel, and I am happy to have you as a lifetime subscriber. Thanks.
Thanks Eugene. This is a very good explanation.
+Sean Wiesen, thanks for the compliment.
Math has never been so Intense
exactly what I need in only 4 minutes. thanks
Thanks.
Fantastic. These tools are priceless for students!
Amazing! Finally I get to understand this! The single best explanation I could even fathom!
Just awesome! Thanks so much!
Glad my explanation was helpful. Thanks for the compliments.
So cross product of two vectors = new vector and dot product of two vectors = a float number?
Just a comment:
The red arrow hasn't the same lenght of the base of the triangle. The red arrow is the dot product and the lenght of the base of the triangle is equal to the lenght of the projection of the green vector on the line of the blue vector.
Therefore, the lenght of the projection times the lenght of the blue vector is equal to the dot product. (the red arrow)
that final hand move was epic!
Thanks so muuuuuch!! I already understood the dot product but i couldn't visualise the cross product so this has been soo useful :)
Thanks. Glad to hear that my video was useful.
I've been waiting for this video forever!!!!!! Thank you!!!!
+flare909, the wait is finally over. Glad you liked it.
EDIT: oh it's just a scalar. got confused from so much amazing visual animation :P
-isn't the dot product commutative? if it were then the resulting vector should be the same, but according to the animation it follows (is alligned with) only one of the original vectors (RED vector follows A not B). I understand the magnitude is the same, a.b.cosine, but the geometrical vector...? i'm confused-
can you please help me..? actually I want to make a model with the dot and cross product idea. please help me.
You can help translate this video by adding subtitles in other languages. To add a translation, click on the following link:
ruclips.net/user/timedtext_video?v=h0NJK4mEIJU&ref=share
You will then be able to add translations for all the subtitles. You will also be able to provide a translation for the title of the video. Please remember to hit the submit button for both the title and for the subtitles, as they are submitted separately.
Details about adding translations is available at
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Thanks.
Please make video on constraint relation
perfect illustration of complex vector subjects. thank you!