Which of the following is true?
Correct answer: A. Option A
- A. Option A
- B. Option B
- C. Option C
- D. Option D
Explanation
The relationship A x B = - B x A is a property of the cross product known as the antisymmetry or skew-symmetry property. It arises from the definition of the cross product and the geometric interpretation of the direction of the resulting vector. The cross product of A and B is perpendicular to the plane formed by A and B and the direction is given by the right-hand rule. If you reverse the order of the vectors in the cross product, the resulting vector points in the opposite direction, hence the negative sign.
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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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