In three dimensions, consider the vector V = a1i + a2j +a3k. Determine the projections of V onto the x, y, z axis.
These are formulas from my textbook related to projection:
All underscores mean subscript.
Proj_A B = (B * A/|A|) A/|A| = ((B * A)/(A * A)) A
B*A = a_1b_1 + a_2b_2 + a_3b_3
Note: The asterisk * in the equation above is the 'dot' used in vector dot products.
PS. Sorry for not using the latex coding to make the equations look nicer. I've used this before and I know how to use the codes but when I submit them the images are broken.
The Attempt at a Solution
I don't think I'm even close but here's what I did:
(B*A / A*A) A = (a_1 / 1) j = a_1i
That's for the x axis. The projection answers for the other axes I get a_2j and a_3k respectively.