Chapter 12.4, Problem 16E

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8th Edition

James Stewart

ISBN: 9781305266643

Textbook Problem

The figure shows a vector **a** in the *xy*-plane and a vector **b** in the direction of **k**. Their lengths are |**a**|=3 and |**b**| = 2.

(a) Find |**a** Ã— **b**|.

(b) Use the right-hand rule to decide whether the components of **a** Ã— **b** are positive, negative, or 0.

(a)

To determine

**To find:** The magnitude of cross product

Explanation

**Given:**

**Formula used:**

If **u** and **v**, then the cross product is,

Here,

**u**, and

**v**.

**Right-hand rule:**

The fingers of the right hand curl in the direction of a rotation from **a** to **b**, then the thumb points in the direction of

Redraw the given Figure with indication of angle as shown in Figure 1.

(b)

To determine

**To check:** Whether the components of

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