Chapter 15.8, Problem 2E

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8th Edition

James Stewart

ISBN: 9781285741550

Textbook Problem

Plot the point whose spherical coordinates are given. Then find the rectangular coordinates of the point.

**2**. (a) (2, π/2, π/2) (b) (4, –π/4, π/3)

(a)

To determine

**To plot:** The given spherical coordinates and find the corresponding rectangular coordinates.

Explanation

**Given:**

The spherical coordinates

**Formula used:**

The rectangular coordinates

**Calculation:**

The given spherical coordinates

From the Figure 1, it is observed that the point 2 in the *x-*axis is rotated anti clockwise to the angle
*z-*axis at the angle of

From the given conditions, it is observed that

(b)

To determine

**To plot:** The given spherical coordinates and find the corresponding rectangular coordinates.

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