Find the direction of the vector in standard position with end point (2, 7). Round to the nearest hundredth.
A)16.60°
B)74.05°
C)0.02°
D)15.95°

Question

Quizplus · Accepted Answer

To find the direction of the vector, we need to find the angle it makes with the positive x-axis. We can use trigonometry to do this.

The magnitude of the vector can be found using the Pythagorean theorem:
|v| = √(2^2 + 7^2) = √53

We can then use the inverse tangent function to find the angle:
θ = tan⁻¹(7/2) ≈ 74.05°

Therefore, the direction of the vector is 74.05° to the positive x-axis.

Find the Direction of the Vector in Standard Position with End