Find vector c + d (Adding parallel vectors)

Question

Find vector c + d

Answer 1

Since these are parallel vectors, you just need to look at the net magnitude (assuming northeast is positive) gives, 37.5 N - 15 N = 22.5 N (magnitude). Direction is whichever vector had the dominant contribution ('last man standing'), which is +northeast.

Final answer should be 22.5 N at 45deg NE