Which of the following is not true?

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

Question

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

Quizplus · Accepted Answer

The quotient of two nonzero vectors is not defined in the same way as scalar division; therefore, it does not result in a scalar. Vector division is not a standard operation in vector algebra.

Which of the Following Is Not True