00:01
To find the angle between two vectors we need this.
00:07
So u equals cosine pi over 4i plus sine pi over 4j.
00:45
V equals cosine 5 pi over 4i plus sine 5 pi over 4j.
01:01
Now it's worth mentioning when you look at the unit circle and everything, this right here comes out to square root of 2 over 2 i hat, square root of 2 over 2 j hat.
01:20
Now for this one.
01:23
And you get something similar for these two.
01:25
Negative square root of 2 over 2 i hat plus negative square root of 2 over 2 j hat.
01:38
Okay? so if we do u dot v, the dot product of u and v, we end up getting the square root of 2 over 2 times the negative square root of 2 over 2 plus the square root of 2 over 2 times the negative square root of 2 over 2.
02:08
You know, like basically you just multiply the i with the i, the j with the j...