Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as
an angle in $$\left[ 0,360 ^ { \circ } \right]$$
-$$\langle - 4 , - 3 \rangle$$
A) $5 ; 233.1 ^ { \circ }$
B) $5 ; 216.9 ^ { \circ }$
C) $7 ; 216.9 ^ { \circ }$
D) $5 ; 36.9 ^ { \circ }$

Question

Quizplus · Accepted Answer

The magnitude is calculated using the formula $\sqrt{(-4)^2 + (-3)^2} = 5$. The direction angle is found using $\tan^{-1}(\frac{-3}{-4}) = 36.9^\circ$, but since the vector is in the third quadrant, the angle is $180^\circ + 36.9^\circ = 216.9^\circ$.

Find the Magnitude and Direction Angle (To the Nearest Tenth) [0,360∘]\left[ 0,360 ^ { \circ } \right][0,360∘]

Find the Magnitude and Direction Angle (To the Nearest Tenth) $\left[ 0,360 ^ { \circ } \right]$