Question

If vectors A⃗ and B⃗ are orthogonal, what is the component of B⃗ along the direction of A⃗ ? What is the component of A⃗ along the direction of B⃗ ?

Answer 1

A · B = A B cos Θ = 0 because cos 90 = zero

A · B is a scalar quantity and has no direction

Note: Let B = Bx i + By j define direction of B

Bx is the component of B along the i axis