If A × B = 0 then:
Correct answer: B. Either of the two vectors is a null or vectors A and B are parallel to each other
- A. Two vectors both are zero
- B. Either of the two vectors is a null or vectors A and B are parallel to each other
- C. They are perpendicular to each other
- D. None of these
Explanation
If A and B are parallel, the sine of the angle between them is zero, and consequently, the cross product is zero. Since cross product is given by: |A x B| = ABsinθ Here θ is the angle between the vector two vectors. If either of the two vectors is zero, then magnitude becomes zero, and consequently, the entire cross product becomes zero.
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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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