2
AssignmentMultiple Choice

Vectors and Their Components

Question 2 • Precalculus

What is w = ⟨–6, 11⟩ written as a linear combination of unit vectors?

Answer
A
w = –11i + 6j
B
w = –6i + 11j
C
w = 6i – 11j
D
w = 11i – 6j

Explanation

A vector ⟨x, y⟩ is written in terms of unit vectors as x i + y j. Substituting the components of w = ⟨–6, 11⟩ gives w = –6i + 11j, which is choice B.

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