Express (14N, 240°) as a column vector.
-
A.
(begin{pmatrix} -7 \ -7sqrt{3} end{pmatrix}) -
B.
(begin{pmatrix} 7sqrt{3} \ 7sqrt{3} end{pmatrix}) -
C.
(begin{pmatrix} -7sqrt{3} \ -7 end{pmatrix}) -
D.
(begin{pmatrix} 7 \ -7sqrt{3} end{pmatrix})
Correct Answer: Option A
Explanation
(F = begin{pmatrix} F_{x} \ F_{y} end{pmatrix} = begin{pmatrix} Fcos theta \ Fsin theta end{pmatrix})
((14N, 240°) = begin{pmatrix} 14cos 240 \ 14sin 240 end{pmatrix})
= (begin{pmatrix} 14 times -0.5 \ 14 times frac{-sqrt{3}}{2} end{pmatrix})
= (begin{pmatrix} -7 \ -7sqrt{3} end{pmatrix})