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Thought-Process to Discover Knowledge

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Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

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mathsVector AlgebraProperties of Cross Product

Cross Product of Orthogonal Vectors

In this page, you will learn about the vector cross product between two Orthogonal Vectors.

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When two vectors are called 'orthogonal' vectors?orthogonal vectors `color(coral)(text(orth)) + color(deepskyblue)(text(gonia))` means `color(coral)(text(right))+color(deepskyblue)(text(angled))`

  • have `90^@` angle between them
  • perpendicular to each other
  • the vectors are right-angled
  • all the above
  • all the above

The answer is 'All the above'

Given the definition of cross product as
`vec p xx vec q = |vec p||vec q|sin theta hat n`
cross product of orthogonal vectors What is `vec p xx vec q`, when the given vectors are orthogonal?

  • `|p||q|sin 90 hat n`
  • `(|p||q| xx 1)hat n`
  • `|p||q|hat n`
  • all the above
  • all the above

The answer is 'All the above'.

 •  Magnitude of the cross product of orthogonal vectors is the product of the magnitudes of the vectors.

Cross Product of Orthogonal Vectors: For any pair of orthogonal vectors `vec p, vec q in bbb V`,
`|vec p xx vec q| = |p||q|`

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