• :00Days
• :00Hours
• :00Mins
• 00Seconds
A new era for learning is coming soon Suggested languages for you:

Europe

Answers without the blur. Sign up and see all textbooks for free! Q. 14

Expert-verified Found in: Page 824 ### Calculus

Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861 # What is the definition of the triple scalar product for vectors u, v and w in ${\mathrm{ℝ}}^{3}$?

The triple scalar product is$u·\left(v×w\right)=v·\left(w×u\right)=w·\left(u×v\right)$.

See the step by step solution

## Step 1. Given Information

We have to define the definition of the triple scalar product for vectors u, v and w in ${\mathrm{ℝ}}^{3}$.

## Step 2. The definition of the triple scalar product

Let u, v and w be three vectors in ${\mathrm{ℝ}}^{3}$. The triple scalar product is $u·\left(v×w\right)=v·\left(w×u\right)=w·\left(u×v\right)$. The triple scalar product is the signed volume of the parallelepiped formed using the three vectors, u, v and w. ### Want to see more solutions like these? 