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Q. 14

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Calculus
Found in: Page 824
Calculus

Calculus

Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

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Short Answer

What is the definition of the triple scalar product for vectors u, v and w in 3?

The triple scalar product isu·(v×w)=v·(w×u)=w·(u×v).

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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 3.

Step 2. The definition of the triple scalar product

Let u, v and w be three vectors in 3. The triple scalar product is u·(v×w)=v·(w×u)=w·(u×v). The triple scalar product is the signed volume of the parallelepiped formed using the three vectors, u, v and w.

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