The cross product i^ x j^ is equal to_______________?
Correct answer: D. k^
- A. Zero
- B. One
- C. i^
- D. k^
Explanation
The unit vectors follow the right-hand rule: i × j = k. The vectors are perpendicular, so the cross product has magnitude 1 × 1 × sin90° = 1 and direction k. Option a confuses the cross product with the dot product, for which perpendicular vectors give zero.
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About Vector Product
The vector product, or cross product, gives a vector perpendicular to two multiplying vectors, with magnitude AB sin θ and direction set by the right-hand rule. It covers properties such as anti-commutation, area from cross products, torque and angular momentum. Unlike the dot product, its result is a vector.
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