Express the force F = (8 N, 150°) in the form (a i + ...
Express the force F = (8 N, 150°) in the form (a i + b j) where a and b are constants
4√3i−4j
4i−4√3j
−4i+4√3j
−4√3i+4j
Correct answer is D
F=Fcosθi+Fsinθj
(8 N, 150°) = 8 \cos 150 i + 8 \sin 150 j
= - 8 \cos 30 i + 8 \sin 30 j
= -8(\frac{\sqrt{3}}{2}) i + 8(\frac{1}{2} j
= -4\sqrt{3} i + 4 j
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