I get confused with this problems
show that the vector (orth of b onto a) = (b - proj of b onto a) is orthogonal to a.
The Attempt at a Solution
(b-proj of b onto a) dot a = 0
and I got stuck!
You are not being careful to distinguish between vectors and numbers. The first "a" of "a(a.b)/a^2" is a vector while "a^2" is a number- the square of the length of a. You are trying to cancel them!For example, I say:
with the result that you get this, which makes no sense! Does "(a.b)/a" mean you are dividing by a vector?(b-(a.b)/a).a=0
How can I do next?