Thanks for the short and concise derivation. Still great after 13 years
@Mathispower4u
6 ай бұрын
Thank you for your support!
@stephenliu4869
2 жыл бұрын
This was helpful, thank you. I'm a little confused how you knew to multiply (1) by the magnitude of v over itself at 2:33. It seems like that came out of no where.
@patrickmoloney672
8 жыл бұрын
That proof is a gem, thanks very much!
@rilpoole
8 жыл бұрын
Excellent proof. Straight forward and easy to follow. I really appreciate it.
@yeenfnd5495
4 жыл бұрын
Where did you prove this 2:00
@nerdstitution
2 жыл бұрын
Still helpful 10 years later. Thx for the help
@xiangli9588
2 жыл бұрын
Magnitude of W can't be negative, so |w| = |u||v|cos(t)/|v| is assuming t
@andrewcondrin4865
3 жыл бұрын
fantastic video. Bravo my good sir.
@michas2264
3 жыл бұрын
What is the purpose of normalizing the vector at 4:50?
@McNoobySon
3 жыл бұрын
You want to give it the same direction as vector v without affecting its magnitude. Multiplying by a normalized vector v will achieve that purpose.
@mustardseed97
9 жыл бұрын
Thank you for the proof!
@HolyFifa
7 жыл бұрын
this proof saved my life
@minniemause3435
7 жыл бұрын
Hi! Thank you dear friends. Wonderful video..Super!!!
@gcgnatorcats6888
8 жыл бұрын
when i tried to prove this myself i found you can also just do: vector v * k where k = cos theta * mag(u) / (mag(v)). cus to find the length of projection its x=cos theta*mag vector(u). then u set that equal to mag vector(v) * k and solve for k.
@QuiteKnight
13 жыл бұрын
Your video was very helpful in reminding me how to do projections while i write my notes. I think you should go over why you used the unit vector V though since students might be confused by that.
@al7aro
4 жыл бұрын
oh god at last someone who explains the formula
@theoldboar6853
5 жыл бұрын
thank you, lifesaver
@chloebenko-prieur1772
2 жыл бұрын
The quote slide at the end hahaha amazing
@BlindHurricane5
12 жыл бұрын
finally a good explanation! and nice quote.
@cochinamocos
10 жыл бұрын
very helpful, thank you.
@alyrwhylopanlaqui980
10 жыл бұрын
Thank you very much!
@tag_of_frank
7 жыл бұрын
You multiplied by magnitude of v divided by magnitude of v for no reason
@Mathispower4u
7 жыл бұрын
Yes, but it is allows since it equals 1 and it is necessary to get the end result. This is not an uncommon practice.
@soper_aylamo
5 жыл бұрын
@Iridule It really is all just intuition. Trying to figure out a way to substitute values for already known values would allow you to realize that multiplying by ||v||/||v|| (which is equal to 1) would yield a known value.
@brendanmatthews4356
4 жыл бұрын
@@soper_aylamo way easier to just find the two expressions for cos@ and equate them.
@yadpreetcheema4806
6 жыл бұрын
awesome proof!
@evgeniiakorchevskaia3801
7 жыл бұрын
thank you!
@franciscodonoso1654
7 жыл бұрын
great video
@letsdomaths5165
4 жыл бұрын
liked it
@jak712we
7 жыл бұрын
THANKS
@Unknowledgeable1
2 жыл бұрын
Your diagram at the beginning was so good, I managed to derive it on the spot without watching the whole video
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