The cross product of two vectors (X and Y) is a negative vector when the angle between them is
Correct answer: D. 270o
- A. 0o
- B. 90o
- C. 180o
- D. 270o
Explanation
The cross product of two vectors results in a vector that is perpendicular to the plane containing the two vectors. The direction of the cross product vector is determined by the right-hand rule. At 270o, the cross product is effectively a negative version of the vector obtained at 90o, hence the result is considered negative. The angle of 0o and 180o results in zero cross product because the vectors are parallel or anti-parallel. At 90o, the cross product is at its maximum magnitude but not negative.
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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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