When the product of two vectors is a scalar quantity, it is called:
Correct answer: C. Dot product
- A. Vector product
- B. Multiplication of vectors
- C. Dot product
- D. Cross product
Explanation
The dot product, also known as the scalar product, is a mathematical operation between two vectors that results in a scalar quantity. For two vectors A and B, the dot product is denoted as A · B or A · B = |A| |B| cos(θ), where |A| and |B| are the magnitudes of the vectors, and θ is the angle between them. The dot product yields a scalar value.
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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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