Question

Find the direction angle of the vector w= 4i - 3j. That is, find the angle between 0 degree and 360 degree that v makes with the positive x-axis (measured counterclockwise), when w is in standard position.Do not round any Intermediate computations, and round your answer to the nearest whole number.

Answer 1

The angle shown in the picture can be computed as follows:

tan(α) = 3/4

α = arctan(3/4)

α = 36.869°

Then, the angle that w makes with the positive x-axis is:

360° - 36.869° = 323°