If cross product between two non zero vectors A and B is zero ,then their dot product is:
Correct answer: D. AB
- A. AB sin θ
- B. AB cos θ
- C. 0
- D. AB
Explanation
If the cross product between two non-zero vectors is zero, then the angle between them would either be 0 degrees or 180 degrees because sin(0) and (sin180) is 0. Hence the dot product would either be AB or -AB, because cos (0) is zero and cos (180) is -1. Since option D is AB, hence, it is correct.
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About Vectors and Equilibrium
Vectors have magnitude and direction, unlike scalars, and are combined by head-to-tail or parallelogram methods. Work covers rectangular components, equilibrium when the resultant force is zero, the scalar product for work and projections, and the vector product for torque and cross-product direction using the right-hand rule.
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