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Which of the following trigonometric function is involved in cross product?Group of answer choicessinetangentcotangentcosine

Question

Which of the following trigonometric function is involved in cross product?

  • sin
  • tangent
  • cotangent
  • cosine
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Solution

The trigonometric function involved in the cross product is the sine function.

Explanation:

The cross product of two vectors in three-dimensional space results in a vector that is perpendicular to both of the original vectors. The magnitude of the cross product can be calculated using the sine of the angle between the two vectors. Specifically, if we have two vectors A and B, the magnitude of their cross product is given by:

A×B=ABsin(θ) |\mathbf{A} \times \mathbf{B}| = |\mathbf{A}| |\mathbf{B}| \sin(\theta)

where θ\theta is the angle between the two vectors. This relationship highlights the role of the sine function, as it relates to the calculation of the area of the parallelogram formed by the two vectors.

Final Answer:

The correct answer is sine.

This problem has been solved

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