Question

Find the projection of u onto v. Then write u as the sum of two orthogonal vectors, one being projvu

I attempted t0 write the projection and came up with 0,0, how do i move on from that???.

Answer 1

To find the projection of u onto v, take the dot product of u and v, then divide by the magnitude of v.

Answer 2

Whoops forgot to add the values, u=8,4 and v = 2,-4

Answer 3

yes, i know, but the dot product is zero, what do i do now

Answer 4

If the dot product is 0, then that means the vectors are already orthogonal, so proj(v,u) is 0, and the second vector is just u