If the magnitude of a vector Y is the same as that of vector X but opposite in direction, then vector Y is equal to
Correct answer: D. -X
- A. 1
- B. 0
- C. X
- D. -X
Explanation
The correct answer is Y = -X. A vector's direction is indicated by its sign. If vector Y has the same magnitude as vector X but is opposite in direction, it means that Y is the negative of X. Hence, Y = -X. The other options are incorrect because they either ignore the directional component or misinterpret the meaning of opposite direction.
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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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