7
QuizMultiple Choice

Dot Product and Work — Unit test

Question 7 • Precalculus

Consider u = ⟨5, –2⟩ and v = ⟨10, –4⟩. What is the relationship between 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

Since v = 2u (⟨10, −4⟩ = 2⟨5, −2⟩), v is a positive multiple of u. Multiplying a vector by a positive number changes its length but not its direction, so the vectors point in the same direction.

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