Find the Component Form Of $\mathbf { v }$ If $\| \mathbf { v } \| = 4$

question 3

Multiple Choice

Find the component form of $\mathbf { v }$ if $\| \mathbf { v } \| = 4$ and the angle it makes with the $x$ -axis is $120 ^ { \circ }$ .

• A) \(\langle - 2 \sqrt { 3 } , 2 \rangle\)
• B) \(\langle - 4,4 \sqrt { 3 } \rangle\)
• C) \(\langle - 4 \sqrt { 3 } , - 4 \rangle\)
• D) \(\langle - 2,2 \sqrt { 3 } \rangle\)
• E) \(\langle - 2 \sqrt { 2 } , 2 \sqrt { 2 } \rangle\)