Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as
an angle in [0,360°].
--4, -3
A) 7; 216.9°
B) 5; 216.9°
C) 5; 36.9°
D) 5; 233.1°

Question

Quizplus · Accepted Answer

The magnitude of the vector (-4, -3) is 5, calculated using the Pythagorean theorem: √((-4)^2 + (-3)^2) = 5. The direction angle is found using the arctangent function: arctan(-3/-4) = 36.9°, but since the vector is in the third quadrant, the angle is 180° + 36.9° = 216.9°.

Find the Magnitude and Direction Angle (To the Nearest Tenth)