Find the direction of the vector in standard position with end point (6, 8). Round to the nearest hundredth.
A)53.13°
B)41.41°
C)48.59°
D)36.87°

Question

Quizplus · Accepted Answer

The direction of a vector in standard position (starting from the origin) to a point (x, y) is given by the angle θ = tan⁻¹(y/x). For the point (6, 8), θ = tan⁻¹(8/6) = tan⁻¹(4/3). Calculating this gives approximately 53.13°.

Find the Direction of the Vector in Standard Position with End