The difference of a vector B and its negative vector -B is:
Correct answer: C. Twice the magnitude of vector B
- A. A null vector
- B. Equal to magnitude of vector B
- C. Twice the magnitude of vector B
- D. Smaller than magnitude of vector B
Explanation
Option C is correct. The difference between vector B and its negative vector -B is equivalent to B - (-B), which simplifies to B + B = 2B. Thus, the magnitude of the resulting vector is twice that of vector B.Option A is incorrect because a null vector occurs when two opposite vectors are added, not subtracted.Option B is incorrect because the magnitude of the difference between a vector and its negative cannot equal the magnitude of the original vector.Option D is incorrect because the magnitude of the resulting vector from B - (-B) will be larger, not smaller, than the magnitude of vector B.
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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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