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Chapter 10: Q. 21 (page 824)

If u and v are vectors in 鈩�3 such that u脳v=v脳u, what can we conclude about u and v?

Short Answer

Expert verified

We conclude about u and v that they are parallel.

Step by step solution

01

Step 1. Given Information 

If u and v are vectors in鈩�3such that u脳v=v脳u, what can we conclude about u andv?

02

Step 2. We conclude about u and v:

The cross product may be the first product you鈥檝e encountered that is not commutative. However, it is anti-commutative. That is, for every two vectors u and v in 鈩�3, we have the following:

v脳u=u脳v

We conclude about u and vthat they are parallel.

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