F1 = 100[30o] N. of E. = [30o]CCW.
F1 + F2 = 0.
100[30] + F2 = 0.
100*Cos30 + (100*sin30)i + F2 =0.
86.6 + 50i + F2 = 0.
F2 = -86.6-50i(Q3) = 100[30o] S. of W. = 100[210o] CCW from +x-axis.
210o - 30o = 180o. So the two vectors are 180o out of phase. Therefore, point in opposite directions and have equal magnitudes.
Can you find a vector quantity that has a magnitude of zero but components that are different from zero? Explain.
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