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Vectors and Their Components

Question 4 • Precalculus

If is multiplied by the scalar –10, the new vector will be the original vector.

Answer
A
in the same direction but longer than
B
in the opposite direction but longer than
C
in the same direction but shorter than

Explanation

Multiplying a vector by a negative scalar reverses its direction. Multiplying by 10 makes its magnitude 10 times as large, so the new vector points in the opposite direction and is longer than the original.

AI-written and checked against the verified answer.

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