The vector product of two vectors A and B is _ vectors A and B.
Correct answer: C. Perpendicular to the plane containing
- A. Not equal to the product of magnitudes of
- B. In the plane parallel to
- C. Perpendicular to the plane containing
- D. Less in magnitude than the product of magnitudes of
Explanation
The vector product, or cross product, of two vectors A and B results in a vector perpendicular to the plane containing A and B. This is determined using the right-hand rule, which helps visualize the direction of the resulting vector. The magnitude of the cross product is |A × B| = |A||B|sin(θ), where θ is the angle between A and B. Option C correctly identifies the perpendicular nature of the resulting vector. Option A is incorrect because it misrepresents the nature of the cross product as a scalar. Option B is incorrect because it misinterprets the orientation as parallel rather than perpendicular. Option D is incorrect because it inaccurately describes the magnitude relationship without considering the sine component.
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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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