Which of the following can not be the resultant of two vectors having magnitude 10N and 15N?
Correct answer: D. 30N
- A. 18N
- B. 22N
- C. 25N
- D. 30N
Explanation
For vectors of 10 N and 15 N, the resultant must lie between |15 N - 10 N| = 5 N and 15 N + 10 N = 25 N. Thus 18 N, 22 N and 25 N are possible, but 30 N exceeds the maximum of 25 N. Students commonly choose 25 N as impossible, although it occurs when the vectors point in the same direction.
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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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