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°].
--16, 0
A)16; 180°
B)256; 180°
C)16; 270°
D)16; 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((-16)^2 + 0^2) = 16. The direction angle for a vector (-16, 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)