The vector product of two vector L and M can be determined by the formula _.
Correct answer: B. L. M Sinθ nˆ
- A. A.B= L .M cos θ
- B. L. M Sinθ nˆ
- C. L × M cosθ nˆ
- D. None of these
Explanation
The correct formula for the vector product of two vectors L and M is L. M Sinθ nˆ. This formula takes into account the magnitudes of the vectors, the sine of the angle between them, and the unit vector in the direction perpendicular to the plane formed by L and M. The other options provided either involve the dot product or incorrect variations of the vector product formula.
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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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