Direction cosines and direction angles (vectors) (KristaKingMath)

► My Vectors course: www.kristaking...
Learn how to find the direction cosines and direction angles of a vector. The direction angles are the angles between the vector and the positive directions of the coordinate axes.
● ● ● GET EXTRA HELP ● ● ●
If you could use some extra help with your math class, then check out Krista’s website // www.kristakingm...
● ● ● CONNECT WITH KRISTA ● ● ●
Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)
Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student-from basic middle school classes to advanced college calculus-figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: www.kristakingm...
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[@bigstuff52]

best damn explanation of direction cosines and angles I've seen...thank you

[@kristakingmath]

Thanks! :D

[@nayanjyotidas7490]

That voice is so pleasant to listen to!

[@mattbell888]

Uppercase upsilon looks like the Latin uppercase Y - which is just the Y we use in our alphabet. Lowercase gamma looks similar (but not exactly like) to our lowercase y. Uppercase gamma looks like a vertically flipped L, and lowercase upsilon looks similar (also not exactly) to our lowercase u. Though then this can get easily confused with lowercase mu or nu... it's tricky.

[@adelasiri4001]

thank u Krista. Just keep it easy and simple as always. Very helpful.

[@kristakingmath]

Thanks!

[@rasikap96]

thanks so much! It was so much more helpful than my txtbook :D

[@prateekgurjar1651]

wtf

[@martmmit440]

Bless your soul. Beautiful explanation!

[@purplebun]

isn't it: alpha, beta, gamma?

[@91755103]

correct, she was confused.

[@merkeliii]

She's using upsilon. Nothing wrong w/ that. You can call it whatever you want.

[@ZakKrenzer]

Great Video! Very clear and well explained. THANKS!

[@kristakingmath]

+Zak Krenzer Thanks! Glad it could help!

[@sidimasomlota484]

Thank you so much for this video its been a great help.🙏

[@williamwallace4080]

I used to watch your videos like 10 years ago for GCSE and IB exams. A long time has passed

[@PrinceEditor70s]

so then why you are watching right now

[@briandasilva5299]

I'm pretty sure that's gamma not epsilon...

[@merkeliii]

She said upsilon, and wrote the correct character for upsilon. Nothing wrong with that.

[@PythonDelta]

WHAT A BOSS thanks for helping me!

[@kristakingmath]

+PythonDelta You're welcome, glad it helped!

[@pnguyena512]

your explanation is beyond amazing!

[@kristakingmath]

Thank you!!

[@WilliamSandersAu]

Concise and very clear. Subscribed!

[@kristakingmath]

+William Sanders Thank you so much!

[@rajeshkumararv]

Krista thank you so much fir helping ❤️

[@kristakingmath]

You're welcome, Rajesh, I'm happy to help! :D

[@rajeshkumararv]

@@kristakingmath thank you so much mam .. actually Rajesh is my father name heehee😁😁 ..
M her daughter

[@vaibhavsingh5894]

Can't find better content and explanation than this ☺️🙂

[@kristakingmath]

So glad you think so, vaibhav!

[@vaibhavsingh5894]

Thanks a lot mam....mam is there any website or course run by you where we can find new course 🙂 because mam I am a 12th standard student from India ...so need your help to study in these times🙂

[@91755103]

F.Y.I., that is gamma, not epsilon. . epsilon is a lower case e, sort of like the irrational number.

[@merkeliii]

She said upsilon, and wrote the correct character for upsilon.

[@eighthourlunch]

Brian is right. My book uses gamma also. That said, this video was still more clear than my book. Thanks for the explanation!

[@oshinsharma7398]

Fantastic work! My teacher couldn't get this is my head in 2 days! Really helpful, especially when you have your exam the ext day.
Would you mind letting me know the software you've used here Krista? Just curious.

[@kristakingmath]

I explain here :) www.kristakingmath.com/blog/how-i-create-my-videos

[@QMallow]

You explained it very well. Thank you!

[@kristakingmath]

You're welcome, I'm so glad it helped!!

[@codingwithelhacen990]

I'm back to learn Cal 3!Thank you!

[@supersuleboy]

life saver..... thank you !!

[@curearcher]

Thank you for the great tutorial of Direction cosine. Can you tell me the applications of this topic? I understand the concept, but I have a hard time understanding the real world uses of direction cosine.

[@ainmiky4620]

if the angles are negative, would they be the angles between the negative branch of the x,y,z axis in contact with the a vector?

[@sarthaksharma9322]

Oh ! the video was awesome thanks a lot ...Got right in my head now....

[@kristakingmath]

Awesome! I'm glad it could help. :)

[@donibradford1085]

thanks very much , you made it very simple.

[@anirbanroy730]

really helpful.....thanks krista

[@kristakingmath]

You're welcome! I'm it could help. :)

[@DeusExMachina0000000]

You are awesome, Krista. (: (: I love your work and understanding (: (: (:

[@kristakingmath]

Thank you so much! :D

[@habeebahmaisarah9025]

how about if it just give two equation of plane? did we need to find the cross product first? and the cross product gonna represent direction number?

[@quagmandir]

Perfect. Nothing online compares.

[@kristakingmath]

Thank you so much, Shivansh!

[@hyoshida2355]

very nice teaching. thank you.

[@kristakingmath]

Thanks!

[@hopejavier32]

Thank you so much, I understand it better now!

[@kristakingmath]

Hope Javier I'm so glad it's making more sense!

[@antonnikitin5740]

Great video! Thanks for the help!

[@kristakingmath]

Thanks! Glad you liked it. :)

[@davidmichael6694]

Fantastic explanation!

[@kristakingmath]

Thanks!

[@Rayan-vu1tf]

Best explanation ever 👌, thank u!!

[@kristakingmath]

You're welcome, Rayan, I'm so glad you liked it! :)

[@doctorshabanajawed9415]

Why did we use cos function here?

[@atiqaawan4806]

Bless you .. u solve my problem 😊

[@kristakingmath]

I'm so glad it helped! :)

[@123Ir0nman]

This helps so much!!!
I love listening to your voice a lot more than my professor ;)

[@abdellahumer3965]

tnx bro love it

[@rahiulamin267]

LOVE YOU THAT'S HELPS A LOT '

[@kristakingmath]

:)

[@kristinakohl2849]

really helped me, thank you!

[@kristakingmath]

Awesome! Thanks for letting me know. :)

[@graoliveira6688]

Thank you very much

[@sikandarali3269]

I forgot how to find direction cosine this video helped me thx alot

[@kristakingmath]

+Sikandar Ali You're welcome, I'm happy to help!

[@AurekChattopadhyay]

Nice video. Thanks for the help :)

[@kristakingmath]

Thanks! Glad it could help.

[@aminaabdulghafoor4955]

Madam if direction angles are given then how can we find direction cosines?

[@IshaqKhan-rk5bl]

thanks amazing explanation

[@nsociety]

On which of the Udemy course have you explained this?

[@kristakingmath]

This is in my Calculus 3 course. :)

[@rokkambalamuralikrishna7020]

angles are measured in positive or negative direction ? plz clarify

[@rokkambalamuralikrishna7020]

if we draw mirror image of your vector ,the resultant vector is mirror image .now angle wil be what

[@genevievedobson6351]

amazing !!! thanks so much for this :) x

[@kristakingmath]

:D

[@CsrxRacer]

really, WOW, can't say more

[@Germaniumtingz]

Thanks

[@DrPhipster]

You know that that's not epsilon - it's gamma!

[@merkeliii]

She said upsilon, and wrote the correct character for upsilon.

[@benwillis2158]

@@merkeliii She wrote a gamma symbol, not an upsilon symbol, which does look similar though

[@merkeliii]

@@benwillis2158 She wrote a capital upsilon, which is similar to a "Y". A lower case handwritten gamma has a loop at the bottom. www.foundalis.com/lan/hw/grkhandw.htm

[@temidayofalomo991]

Who cares if it’s not?

[@AngelofHogwarts]

That's not the sign for epsilon. What you wrote is gamma. Epsilon is like the curvy E (like a backwards 3).

[@mothersblessingacademy8496]

hey your tutorial is great but if you don't mind can you tell me about the software you use to make this vedio

[@kristakingmath]

Sure! Here's more information, hopefully it helps! www.kristakingmath.com/blog/how-i-create-my-videos

[@mothersblessingacademy8496]

Thanks for the help

[@mothersblessingacademy8496]

Actually I was searching for an tool to make good vedios like you

[@aqiranaeem470]

Mam here why we use direction cosin why not sine

[@alienmoondudes8071]

why do u find the mag magnitude?

[@enochtseu7063]

love it

[@Brittany27mark]

thank you thank you thank you thank you !!!!!!

[@kristakingmath]

+Brittany Mark You're welcome! :D

[@jefferyanderson8236]

its not Epsilon its gamma, that triggered me, apart from that great video

[@merkeliii]

She said upsilon, and wrote the correct character for upsilon.

[@hemaagamudayar9934]

nice video

[@DawitaychluhimDawit]

thank's

[@JonStoneable]

Wonderful video, thank you, it IS gamma, however, you were also calling it upsilon (the 20th letter of the a.grk. alphabet), not epsilon (5th letter). Epsilon looks like a cursive e, but upsilon looks like a u, and capital upsilon looks exactly like Y, hence the confusion. In French, y = "i-grèque" whereas the french u is more akin to the "oopsilon" pronunciation of upsilon (English we should just say uh-psilon). Different from epslion. Language doesn't make sense.

[@artstellaracademy]

Why sum of square of dcs is equal to 1

[@tumatisureshkumar52]

To be changed to gamma in lecture from epsilon

[@gurdamansingh320]

Great video but its alpha, beta and gamma. That funk y is a symbol of gamma. Epsilon is a stylish e.

[@chokkarm2573]

Okey ,suppose you have two or three vectors ,how do you find the directions cosines 😅

[@paulgrad1348]

But why?

[@AFIG92]

I love you

[@prateekgurjar1651]

she just sees you as a friend

[@alio2269]

6 years later... that's an upsilon not a gamma guys...

[@DrRishabhGarg]

Sweetest voice

[@MaisarahMimo]

tqqqqqq

[@garretttamez7656]

Do people not check the comments first before they say the EXACT SAME THING?

[@bigmushillow]

Praise the lord

[@noblesilence8975]

your voice is awesome just like rapunzel...

[@rivershrimps]

that is not an epsilon symbol. U used gamma symbol instead of epsilon.

[@StarSharu]

mvp

[@hasnainshah7811]

mam that's gamma some call it gamma in fact it's gamma

[@danielolivera2618]

love your videos but please speak louder :D

[@johnkupa8885]

Thanks

[@kristakingmath]

No problem, John! :)

[@jamesbanda4425]

Thanks

[@kristakingmath]

You're welcome! Glad it could help.