The cross product of vector A with itself ( A x A ) is equal to:
Correct answer: D. Zero
- A. A
- B. 1
- C. 2A
- D. Zero
Explanation
The cross product of vector A with itself, denoted as A x A, is equal to zero. When finding the cross product of two vectors, the resulting vector is perpendicular to the plane formed by the original vectors. In this case, since we are finding the cross product of the same vector, the resulting vector is zero because the angle between the vector and itself is 0°, making the sine of the angle 0. This leads to a cross product of zero. Therefore, the correct answer is Option D: 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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