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

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
• 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
• 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|`