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°].
--20, 0
A) 400; 180°
B) 20; 270°
C) 20; 180°
D) 20; 90°

Question

Quizplus · Accepted Answer

The magnitude of the vector is the square root of the sum of the squares of its components, which is sqrt((-20)^2 + 0^2) = 20. The direction angle for a vector (-20, 0) points directly to the left along the negative x-axis, which corresponds to an angle of 180° in standard position.

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