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Properties of Cross Product

Properties of Cross Product

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 »  cross product of orthogonal vectors

    →  `theta = 90^@`

    →  `sin 90^@ = 1`

    →  `vec p xx vec q = |vec p||vec q| hat n`

Cross Product of Orthogonal Vectors

plain and simple summary

nub

plain and simple summary

nub

dummy

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

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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


Keep tapping on the content to continue learning.
Starting on learning "cross product between two Orthogonal Vectors".

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

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

The answer is 'All the above'.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

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|`



           

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

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When two vectors are called 'orthogonal' vectors?
90;degree;angle
have 90 degree angle between them
perpendicular
perpendicular to each other
right;vectors
the vectors are right-angled
all;above
all the above
The answer is 'All the above'
Given the definition of cross product as vector p cross vector q = magnitude of p, magnitude of q, sine theta, n hat. What is vector p cross vector q, when the given vectors are orthogonal?
1
2
3
4
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 vector p, vector q in vector space v;; magnitude of vector p cross vector q = magnitude of p, magnitude q.

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