Suggested languages for you:

Americas

Europe

Q. 6

Expert-verifiedFound in: Page 823

Book edition
1st

Author(s)
Peter Kohn, Laura Taalman

Pages
1155 pages

ISBN
9781429241861

What is Lagrange’s identity? How is it used to understand the geometry of the cross product?

A relationship between the dot product and cross product and help us understand the geometry of the cross product is known as Lagrange’s identity.

It is used to understand the geometry of the cross product as ${||u\times v||}^{2}={||u||}^{2}{||v||}^{2}-{(u\xb7v)}^{2}$.

We have to explain what is Lagrange’s identity and how is it used to understand the geometry of the cross product.

A relationship between the dot product and cross product and will be used shortly to help us understand the geometry of the cross product. It is known as Lagrange’s identity

Let *u* and *v* be vectors in ${\mathrm{\mathbb{R}}}^{3}$. Then

${||u\times v||}^{2}={||u||}^{2}{||v||}^{2}-{(u\xb7v)}^{2}$

94% of StudySmarter users get better grades.

Sign up for free