Moderate

The cross product of vector F with itself (i.e. F × F ) is equal to

Correct answer: D. Zero

  • A. F
  • B. 2F
  • C. 1
  • D. Zero

Explanation

The cross product of vector F with itself (i.e. F × F ) is equal to zero. This is because the cross product is defined as the product of the magnitudes of the vectors and the sine of the angle between them. When the angle between a vector and itself is 0 degrees (or 180 degrees), the sine of the angle becomes zero, making the entire cross product zero.

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About Vectors and Equilibrium

Vectors have magnitude and direction, unlike scalars, and are combined by head-to-tail or parallelogram methods. Work covers rectangular components, equilibrium when the resultant force is zero, the scalar product for work and projections, and the vector product for torque and cross-product direction using the right-hand rule.

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