The scalar product of two vectors F and V with magnitude of F and V is given by:
Correct answer: D. FV cos θ
- A. FV sin θ
- B. FV tan θ
- C. F/V cos θ
- D. FV cos θ
Explanation
The scalar product of two vectors F and V is represented as F.V = (F) (projection of V on F) or F.V = F (magnitude of component of V in the direction of F) = F (Vcos θ) = FV cos θ. This formula involves multiplying the magnitudes of the vectors F and V by the cosine of the angle between them. The other options are incorrect because they either involve the sine or tangent of the angle, or the ratio of magnitudes, instead of the product.
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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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