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Chapter 10: Q. 14 (page 824)

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

Short Answer

Expert verified

The triple scalar product isu路(v脳w)=v路(w脳u)=w路(u脳v).

Step by step solution

01

Step 1. Given Information 

We have to define the definition of the triple scalar product for vectors u, v and w in 鈩�3.

02

Step 2. The definition of the triple scalar product

Let u, v and w be three vectors in 鈩�3. The triple scalar product isu路(v脳w)=v路(w脳u)=w路(u脳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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