If (a x b ) points along positive z-axis, then the vectors a and b must lie in
Correct answer: C. xy-plane
- A. zx-plane
- B. yz-plane
- C. xy-plane
- D. None of the above
Explanation
If cross product a x b points along the positive z-axis, then the vectors a and b must lie in the x-plane. This is because the cross product of two vectors gives a result that is perpendicular to the plane formed by the original vectors. In this case, if the result is along the positive z-axis, it means the original vectors a and b are in xy-plane.
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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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