Answer:
0.1(2, 6) = (0.2, 0.6)
Explanation:
The projection of B onto A will be ...
|B|·cos(θ)×uA
where uA = A/|A|, a unit vector in the A direction.
The dot product of A and B is ...
A•B = |A|·|B|·cos(θ), so the desired vector is ...
projection of B onto A = (A•B)/|A|·(A/|A|) = A·(A•B)/|A|²
For A = (2,6) and B = (5, -1), this is ...
projection of (5, -1) onto (2, 6) = (2, 6)·(2·5-6·1)/(2²+6²) = (2, 6)·4/40 = 0.1·(2, 6)
= (0.2, 0.6)