Vector product of a vector by itself is :
Correct answer: B. Zero
- A. Unity
- B. Zero
- C. 90°
- D. Depends on the vector
Explanation
The vector product, or cross product, of a vector with itself is always zero. This is because the angle between the vector and itself is zero degrees, and the sine of zero degrees is zero. Therefore, the magnitude of the cross product, which is determined by the product of the magnitudes of the vectors and the sine of the angle between them, is zero. Option B is correct. Other options are incorrect as they do not reflect the mathematical properties of the cross product.
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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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