Maximum number of components of a vector may be________________?
Correct answer: D. Infinite
- A. 1
- B. 2
- C. 3
- D. Infinite
Explanation
A vector can be resolved into components in any number of chosen directions, provided the components combine vectorially to reproduce the original vector. Therefore the mathematical maximum is not limited to one, two or three components, and can be infinite. Option c confuses the maximum number of mutually perpendicular rectangular components in three-dimensional space with the maximum number of components in general.
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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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