Dot Product : Find Angle Between Two Vectors , Another Example

Here I do another quick example of using the dot product to find the angle between two vectors.

[hokiboshi]

This guy helped me in my high school days. I've graduated college now. Thank you.

[jonnywolf]

Man your videos are priceless, you sure do know how valuable time is. You always manage to explain very well and fast, whether its a complex concept or a simple concept like this one. Your great keep it up! Greatness awaits!

[forlornreaper]

Wow, i LOVE the HD, your handwriting is amazing, your detailing is awesome!!
I love the little details that most people don't care about, they really make the video pop and a billion times easier to understand! YOU are what I like to call a TEACHER, not a maniac from school. You deserve the praise when I learn. THANK YOU.

[lukri]

Man my teacher taught this all in one day as an ice breaker for the year and I couldn’t get it at all. I think because she did a super long and complicated proof to show how to get to this equation from a more simple one. Either way I understood this so much better and faster. Thanks.

[bellissima]

Ur handwriting is nice. Clear than other tutorials..

[kizzie]

I see no point in lectures when people like you explain things so much simpler

[arjavgarg]

THANKS SO MUCH! I am developing a 3D render engine and needed the angle!

[kaden]

I might have time to watch an episode of 24 after homework tonight after all! Thank you for making my homework a lot easier!

[lucasscott]

only video i could find that explained it the way i needed, thanks for the help

[revengexxy]

explained in 2 minutes what my teacher couldn't do in 20

[allanramos]

Thank you so much for sharing your knowledge idol. I'm now a graduating student and this channel really helped me a lot. You were part of my college life.

[carljohnson]

Thank you, short and simple, very informative too!

[pythondoesstuff]

wow dude that was awesome, that was the best explanation and the shortest I found on the internet

[TheExistenceBand]

wow i have an exam that includes this tomorrow, crazy how you just uploaded this. good timing thanks a lot

[prakashpawar]

its cool . it helped doing my physics homework very easily.i understood it easily and you explained it in a easy method .
please keep on posting such nice viedos

[dustinchase]

You sir are a GOD, you know how frustrating it is doing some multivariable calculus and you forget how to find the angle between two vectors and you cant for the life of you find it in your notes.... SOLUTION: go to Youtube type your math problem and look for video by patrickJMT. THANK YOU

[stonebridgehibr]

i always appreciate your explanations and prefer it to others

[omercoklar]

Thank you so much very clearly and perfect teaching, just giving informations that we must know. Tomorrow i have midterm i hope that i will pass !!

[dracophoenix]

If only I had teachers as good as you!

[EsperanceBG]

Thank you so much! because of your help, I passed my exam : D