Question

find the orthogonal projection of u = -i+j+k onto v= 2i+j-3k

Answer 1

proj of u onto v = (u.v)/(v.v) * v

u=(-1,1,1) and v=(2,1,-3)

You can do it!

Answer 2

lemme give it a go real quick

Answer 3

is that v dot v or v^2?

Answer 4

or ||v||^2?

Answer 5

\[\frac{ u•v }{ v•v } v\]

Answer 6

So yes, u dot v over v dot v

Answer 7

so my final answer should be -4(-i+j+k) / 3 ?