i . i = j . j = k . k = _
Correct answer: B. 1
- A. 0
- B. 1
- C. -1
- D. 1/2
Explanation
The self product of any vector is equal to the square of its magnitude. As the magnitude of the three given vectors i, j, and k is 1, their self product is also 1. This is why option B is the correct answer. Options A, C, and D are incorrect because the self product of a vector with itself is not 0, -1, or 1/2, but is always equal to the square of its magnitude.
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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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