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a) Verify the three equations (4.68) that give x, y, z in

Chapter 4, Problem 4.40

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QUESTION:

a) Verify the three equations (4.68) that give x, y, z in terms of the spherical polar coordinates r, 9, (b) Find expressions for r, in terms of x, y, z.

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QUESTION:

a) Verify the three equations (4.68) that give x, y, z in terms of the spherical polar coordinates r, 9, (b) Find expressions for r, in terms of x, y, z.

ANSWER:

Step 1 of 5

(a)

The position of a vector  is specified by its Cartesian coordinates by .

The position of a vector  is specified by its spherical coordinates by .

The point  is represented under spherical polar coordinate system as .

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