5
QuizMultiple Choice

Vectors and Their Components

Question 5 • Precalculus

A vector in standard position has its terminal point at (–10, –4). What is the approximate direction angle of the vector?

Answer
A
22°
B
58°
C
158°
D
202°

Explanation

The point (−10, −4) is in Quadrant III, so the direction angle must be between 180° and 270°. The reference angle is arctan(4/10) ≈ 22°, so the direction angle is 180° + 22° ≈ 202°. Therefore, the approximate direction angle is 202° (choice D).

AI-written and checked against the verified answer.

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