A vector can be multiplied by a number. The number may be_______________?
Correct answer: D. All A, B and C are correct
- A. Dimensionless
- B. Dimensional scalar
- C. Negative
- D. All A, B and C are correct
Explanation
A vector may be multiplied by a scalar that is dimensionless, dimensional, or negative. A negative scalar reverses the vector's direction, while a dimensional scalar changes its units as well as its magnitude. The likely mistake is choosing only a because many elementary examples use dimensionless scalars.
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About Addition of Vectors
Vector addition combines directed quantities using the head-to-tail, parallelogram and component methods. Work includes finding the resultant magnitude and direction for two or more vectors, resolving vectors into perpendicular components, and distinguishing vector addition from scalar addition, where direction has no role.
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