If i, j, and k are unit vectors along x, y, and z-axis, then k x j =?
Correct answer: A. -i
- A. -i
- B. -j
- C. -k
- D. None of these
Explanation
When calculating the cross product (k x j) of the unit vectors along the z-axis (k) and the y-axis (j) using the right-hand rule, the result will be in the negative x-axis direction, corresponding to -i. Therefore, the correct answer is -i.The other options are incorrect because the cross product of k x j does not result in the y-axis unit vector j, the negative y-axis unit vector -j, or the positive x-axis unit vector i.
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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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