Which of the following is not true?

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

Quizplus · Accepted Answer

The difference of a scalar and a vector is undefined because scalars and vectors are fundamentally different types of quantities; scalars have magnitude only, while vectors have both magnitude and direction. Therefore, you cannot directly subtract a scalar from a vector or vice versa, making option D incorrect.

Which of the Following Is Not True