Write a Vector in Terms of Its Magnitude and Direction
-$$\| \mathbf { v } \| = 14 , \theta = 270 ^ { \circ }$$
A) $\mathbf { v } = - 14 \mathrm { j }$
B) $v = - 14 i$
C) $\mathbf { v } = 14 \left( \frac { \sqrt { 2 } } { 2 } \mathrm { i } - \frac { \sqrt { 2 } } { 2 } \mathrm { j } \right)$
D) $\mathbf { v } = - 14 \mathbf { i } - 14 \mathbf { j }$

Question

Quizplus · Accepted Answer

The direction $270^\circ$ corresponds to directly downward along the negative y-axis, and since the magnitude is 14, the vector is $-14\mathbf{j}$.

Write a Vector in Terms of Its Magnitude and Direction ∥v∥=14,θ=270∘\| \mathbf { v } \| = 14 , \theta = 270 ^ { \circ }∥v∥=14,θ=270∘

Write a Vector in Terms of Its Magnitude and Direction $\| \mathbf { v } \| = 14 , \theta = 270 ^ { \circ }$