The vector product of two vectors is zero, when
Correct answer: A. They are parallel to each other
- A. They are parallel to each other
- B. They are perpendicular to each other
- C. They are equal vectors
- D. They are inclined at angle of 60°
Explanation
The vector product (cross product) of two vectors is zero when the vectors are parallel or antiparallel to each other. Mathematically, if A x B = 0 it implies that the sine of the angle θ between the vectors is zero. In other words, the vectors have either no angle between them (parallel) or an angle of 180 degrees (antiparallel). When vectors are parallel or antiparallel, the cross product results in a zero vector.
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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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