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When two vectors โƒ—๐‘ƒ and โƒ—๐‘„ are parallel to each other, what is the magnitude of their cross product โƒ—๐‘ƒ ร— โƒ—๐‘„?

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Question

When two vectors \[\vec P\] and \[\vec Q\] are parallel to each other, what is the magnitude of their cross product \[\vec P\] × \[\vec Q\]?

Options

  • Maximum value

  • Zero

  • PQ

  • PQ sin 45°

MCQ
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Solution

Zero

Explanation:

When two vectors are parallel, the angle between them is 0°. Since |R| = PQ sin θ, and sin(0°) = 0, the magnitude of the cross product is zero.

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