If A . B = 0 and also A × B = 0, then
Correct answer: D. Either A or B is a null vector
- A. A and B are perpendicular to each other
- B. A and B are parallel to each other
- C. A and B are anti-parallel to each other
- D. Either A or B is a null vector
Explanation
The dot product being zero indicates that the vectors are orthogonal, and the cross product being zero further confirms that the vectors lie in the same plane, as the cross product is a vector perpendicular to the plane formed by A and B. So, if both conditions are satisfied, it means A and B are mutually perpendicular and coplanar.
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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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