Find the component form of v if $\| \mathbf { v } \| = 6$ and the angle it makes with the x-axis is 150°.
A) $\langle - 6 \sqrt { 3 } , - 6 \rangle$
B) $\langle - 6,6 \sqrt { 3 } \rangle$
C) $\langle - 3 \sqrt { 3 } , 3 \rangle$
D) $\langle - 3 \sqrt { 2 } , 3 \sqrt { 2 } \rangle$
E) $\langle - 3,3 \sqrt { 3 } \rangle$

Question

Find the component form of v if $\| \mathbf { v } \| = 6$ and the angle it makes with the x-axis is 150°.
A)  $\langle - 6 \sqrt { 3 } , - 6 \rangle$
B)  $\langle - 6,6 \sqrt { 3 } \rangle$
C)  $\langle - 3 \sqrt { 3 } , 3 \rangle$
D)  $\langle - 3 \sqrt { 2 } , 3 \sqrt { 2 } \rangle$
E)  $\langle - 3,3 \sqrt { 3 } \rangle$

Quizplus · Accepted Answer

The component form of a vector with magnitude 6 and angle 150° is $\langle 6 \cos(150°), 6 \sin(150°) \rangle$, which simplifies to $\langle -3\sqrt{3}, 3 \rangle$.

Find the Component Form of V If ∥v∥=6\| \mathbf { v } \| = 6∥v∥=6

Find the Component Form of V If $\| \mathbf { v } \| = 6$