Which of the following is not true?

A)The sum of two scalars is a scalar
B)The sum of two vectors is a vector.
C)The difference of two vectors is a vector.
D)The difference of two scalars is a scalar.
E)The sum of a scalar and a vector is a vector.

Question

Which of the following is not true?
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A)The sum of two scalars is a scalar
B)The sum of two vectors is a vector.
C)The difference of two vectors is a vector.
D)The difference of two scalars is a scalar.
E)The sum of a scalar and a vector is a vector.

Quizplus · Accepted Answer

Scalars and vectors are fundamentally different types of quantities. Scalars only have magnitude, while vectors have both magnitude and direction. Adding a scalar to a vector does not conform to the rules of vector addition or scalar addition; thus, the statement that the sum of a scalar and a vector is a vector is not true. The operations defined in the other options (A, B, C, D) are correctly described according to the principles of scalar and vector arithmetic.

Which of the Following Is Not True