Chapter 12.4, Problem 6E

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

Find the cross product **a** × **b** and verify that it is orthogonal to both **a** and **b**.

**6. a** = *t***i** + cos *t***j** + sin *t***k**, **b** = **i** − sin *t***j** + cos *t***k**

To determine

**To find:** The cross product between **a** and **b** and verify
**a** and **b**.

Explanation

**Given:**

**Formula:**

Consider the general expression to find the cross product of **a** and **b**.

Condition to verify
**a**.

Condition to verify
**b**.

In equation (1), substitute

Thus, the

Find

Substitute

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P-38RECh-12 P-1PCh-12 P-2PCh-12 P-5P

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