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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

A.

43i4j

B.

4i43j

C.

4i+43j

D.

43i+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