7
QuizMultiple Choice

Dot Product and Work

Question 7 • Precalculus

What is the relationship between vectors u = ⟨3, –1⟩ and v = ⟨6, –2⟩?

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

The vector v = ⟨6, −2⟩ is twice u = ⟨3, −1⟩, since multiplying each component of u by 2 gives v. A positive multiple keeps a vector’s direction the same, so the vectors point in the same direction.

AI-written and checked against the verified answer.

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