Vector C has a magnitude 25.8 m and is in the direction of the negative y axis. Vectors A and B are at angles á = 41.9° and â = 26.7° up from the x axis respectively. If the vector sum A B C = 0, what are the magnitudes of A and B?

Answer 1

A = a [cos(41.9°), sin(41.9°)]
B = b [cos(26.7°), sin(26.7°)]
C = 25.8 [0, -1]

A+B+C = [0,0]

0 = a cos(41.9°) + b cos(26.7°)
0 = a sin(41.9°) + c sin(26.7°) - 1

Solve for a and b
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