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Thought-Process to Discover Knowledge

Welcome to nubtrek.

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

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue
mathsProperties of Vector ArithmeticsProperties 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|`

slide-show version coming soon