44
QuizMultiple Choice

Applying Vectors in the Plane — Cumulative exam

Question 44 • Precalculus

Given vectors u = ⟨–5, 1⟩ and v = ⟨8, 6⟩, which statement is true for u and v?

Answer
A
The vectors point in the same direction.
B
The vectors form an acute angle.
C
The vectors form an obtuse angle.
D
The vectors point in opposite directions.

Explanation

Use the dot product to determine the angle: u · v = (−5)(8) + (1)(6) = −40 + 6 = −34. Since the dot product is negative, the angle between the vectors is obtuse. Therefore, the true statement is that the vectors form an obtuse angle.

AI-written and checked against the verified answer.

Previous
Next