Which of the following is not true?

A)Vector addition is commutative.
B)Scalar addition is commutative.
C)Scalar multiplication is commutative.
D)The quotient of two nonzero scalars is a scalar.
E)The quotient of two nonzero vectors is a vector.

Question

Which of the following is not true?
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A)Vector addition is commutative.
B)Scalar addition is commutative.
C)Scalar multiplication is commutative.
D)The quotient of two nonzero scalars is a scalar.
E)The quotient of two nonzero vectors is a vector.

Quizplus · Accepted Answer

The quotient of two nonzero vectors is not defined in vector algebra, making statement E incorrect. Unlike scalars, you cannot divide one vector directly by another to obtain another vector in the same way you can with scalar division.

Which of the Following Is Not True