Express (r = (12, 210°)) in the form (a i + b j).
-
A.
(6(-i + sqrt{3} j)) -
B.
(6(-sqrt{3} i – j)) -
C.
(6(i – sqrt{3} j)) -
D.
(6(i + sqrt{3} j))
Correct Answer: Option B
Explanation
(F = F cos theta i + F sin theta j)
(r = (12, 210°) = 12 cos 210 i + 12 sin 210 j)
= (- 6sqrt{3} i – 6j)
= (6(-sqrt{3} i – j))