Question

Find the vector projection of u onto v. Then write u as a sum of two orthogonal vectors, one of which is proj(sub)v(u)
u = <-8, 3>, v = <-6, -2>

Answer 1

\[proj _{v}u\] ^^

Answer 2

hint
u.v =dot product of vectors and |u| denotes magnitude of vector u
u.v=|u|(projection of v on u)

Answer 3

@matricked I'm still a bit confused. And are those intended to be absolute value bars or magnitude bars?

Answer 4

\[\bf proj_{\vec{v}}\vec{u}=\frac{|\vec{u}|\cos(\theta)}{ |\vec{v}| }\vec{v}=\frac{ \vec{u} \frac{}{} \vec{v} }{ |\vec{v}|^2 }\vec{v}\]

Answer 5

@RPguy Can you find the projection?

Answer 6

Let's say you have a vector u pointing in some direction
and another vector v pointing in a different direction.

we can draw this picture