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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
• Magnitude of the cross product of orthogonal vectors is the product of the magnitudes of the vectors.
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simple steps to build the foundation
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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.
When two vectors are called '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` 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
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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