The scalar or dot product of A with itself i.e. A . A is equal to:
Correct answer: B. A2
- A. 2A
- B. A2
- C. A/2
- D. None of the above
Explanation
The scalar or dot product of vector A with itself, denoted as A · A, is equal to A^2. The dot product of two vectors is calculated by multiplying the corresponding components of the vectors and then summing them up. When we take the dot product of a vector with itself, we are essentially squaring the magnitude of the vector. So, A · A = A^2
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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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