Question

Can someone please walk me through the steps of this. I know this is suppose to be simple but I am having trouble seeing exactly how to do it.. it says.. Find the Matrix of the orthogonal projection onto the line L in R2 shown in the accompany figure..

Answer 1

is 43 the matrix

Answer 2

{4,3}.{a,b}=0

not sure

Answer 3

well
{3,-4} and {-3,4} should work

Answer 4

yea 43 is the matric 2x1

Answer 5

the books shows the answer as
\[\left[\begin{matrix}.64 & .48 \\ .48 & .36\end{matrix}\right]\]

I am pretty sure it used the cos and sin matrix from one of the theorems I just dont know how to use it