is the distance (d) between the two points always positive? Cuz i notices that you did 'k' of P plane minus given plane in the first example, then the other way around in the second (initial plane k value minus the P plane value) ... Can someone please specify how it's suppose to be? Is it d = (k1 - k2)/n or d = (k2 - k1)/n
When you're calculating the distance: should the denominator be the difference between 95 and -55? Or the other way around? You did it differently in the first exercise :-?
Sorry to barge in. You can do it the other way round (-55-95) since in the numerator we take the absolute value (the modulus). There are different approaches in different countries, I think the one we teach in England is pretty dire. This one is brilliant. Well done, sir.
calculator++ fx by graficlux can do vector calculations like projection, cross, dot products,vectors angle, also matrix calculations determinants, rank, LU, QR decompositions, ref, rref, solve system of equations, draw graphs, and editing is very easy, it can help to do your homework or at list check your results, check it out: Vector calculations
95 is the first k , 0 is the second k which is the constant of the parallel plane that goes through origin (since the parallel plane have the same normal vector it's okay to plug in the points from another parallel plane equation which is unknown to the plane equation that you already know and get a different k value)
I know this comment is a month old, but you get k2 by plugging the coordinates of the point you're looking for into the equation for the plane. This is pretty obvious in the examples he does later on.
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it just clicked after this video, that buttery smooth accent was the key to my new found knowledge
A very clear, instructional video!
I love the accent mate. My first ancestor to Australia 221 years ago was from Dundee, Scotland!
can you say "50 thousand people used to live here, now its a ghost town"
Garret McMillan!!!
W
ola captain price
O Great Man! U reminded me the LEGEND, Captain Price!
Things only get that simple when a genius is at work. Compare other available material on vectors in English. Hope the gentleman is still publishing.
My God this man's explanation is so brilliant and clear - wow, this is pure teaching talent and preparation.
Great explanation and fantastic voice. All around awesome vid!
Nigga said fantastic voice. Bitch you gay
wtf is wrong with you
Understood the concept clearly after watching this video. Thank you very much for the clear explanation :)
omg the K-K equation is a whole lot easier to understand than the whole ax+by+cz / |N| you find in Stewart's book. Stick to his equation guys.
is the distance (d) between the two points always positive? Cuz i notices that you did 'k' of P plane minus given plane in the first example, then the other way around in the second (initial plane k value minus the P plane value) ...
Can someone please specify how it's suppose to be? Is it d = (k1 - k2)/n or d = (k2 - k1)/n
Hi its d = |k1 - k2| / n so since it's in absolute values it will always be positive. Can't have a negative distance :)
@@johndfields oh i see, thank you so much for the clarification. Super helpful! ❤️
Distance is always positive .
ok, that was a lot more helpful than what I expected.
great video, thank you very much.
So if you have a negative in the numerator you just take the abs of that value as well considering the original "standard equation" correct??
Great video, succinct, concise and to the point
Man, I'm just so done with math for the day. NEVER, get behind on your homework kids. By the way, thanks for the help.
You are a god send sir.
10/10. Thank you good sir
Awesome lesson!!!! Thank you
When you're calculating the distance: should the denominator be the difference between 95 and -55? Or the other way around? You did it differently in the first exercise :-?
Sorry to barge in. You can do it the other way round (-55-95) since in the numerator we take the absolute value (the modulus). There are different approaches in different countries, I think the one we teach in England is pretty dire. This one is brilliant. Well done, sir.
clear, concise, beautiful
Fabulous explanation. Makes is so easy.
Amazing video, this cleared all my doubts!
You made this so easy, its crazy. Thank you for making this!
Thank you for excellent explanation, I was so confused but you just saved me: :)
omgf da k-k equation saves my life!!
thank you that was very easy to understand :)
Thank you for the amazing explanation. You are the best.
. ا
That was ... PERFECT. Wow ...
Really enjoyed this - easily understood, good job!
you rock. you're a rockstar.
Well done
Nice shortcut method bro!
really great, helped a lot
How can you for product a point and a vector?
Really really helpful thanks
Great video, thanks!
calculator++ fx by graficlux can do vector calculations like projection, cross, dot products,vectors angle, also matrix calculations determinants, rank, LU, QR decompositions, ref, rref, solve system of equations, draw graphs, and editing is very easy, it can help to do your homework or at list check your results, check it out: Vector calculations
This helped so much! thanks
This is very helpful. Thank you.
thank you!
But what if the point away from the plane is the origin? for example, p(0,0,0) 4x+y-8z=95 -> 4(0)+(0)-8(0)=95 -> 0=95 ?
Or am I missing something?
Brickzot your k2 would be 0.
95 is the first k , 0 is the second k which is the constant of the parallel plane that goes through origin (since the parallel plane have the same normal vector it's okay to plug in the points from another parallel plane equation which is unknown to the plane equation that you already know and get a different k value)
thanks!
What accent does he speak in?
thank you
still works
omfg I didn't get anything. What are you doing with k's? what's k... I only have ax+by+cz="k"
I know this comment is a month old, but you get k2 by plugging the coordinates of the point you're looking for into the equation for the plane. This is pretty obvious in the examples he does later on.
Is it just me or his accent sounds like from Brave
I am having my mathematics exam day after tomorrow......plzz pray for mee
perfect
Craig Ferguson?
He sounds like that dood from kingsmen
😭😭😭😭 Oh no! I don't like math huhuhu...!!! Solving is my Problem!
Mod ax1+by1+cz1+d/✓asquare+bsquare+csquare
Jesus fucking christ, can we please get someone who speaks English to translate wtf this cat is saying!
not easy and boring.
english english