Additional Concepts
-$$\mathbf { v } = - 4 \mathbf { i } - 3 \mathbf { j }$$
A) $5 ; 216.9 ^ { \circ }$
B) $5 ; 36.9 ^ { \circ }$
C) $5 ; 233.1 ^ { \circ }$
D) $7 ; 216.9 ^ { \circ }$

Question

Quizplus · Accepted Answer

The magnitude of the vector $\mathbf{v} = -4\mathbf{i} - 3\mathbf{j}$ is calculated using the formula $\sqrt{(-4)^2 + (-3)^2} = 5$. The direction angle $\theta$ in degrees can be found using the arctan function, considering the vector is in the third quadrant (both components are negative), $\theta = \arctan\left(\frac{-3}{-4}\right) + 180^\circ = 36.9^\circ + 180^\circ = 216.9^\circ$.

Additional Concepts - v=−4i−3j\mathbf { v } = - 4 \mathbf { i } - 3 \mathbf { j }v=−4i−3j

Additional Concepts
- $\mathbf { v } = - 4 \mathbf { i } - 3 \mathbf { j }$