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Chapter 10: Q 33 (page 789)

Find the equation of a sphere with center (2, 5,-7) and containing the origin.

Short Answer

Expert verified

The required equation is(x-2)2+(y-5)2+(z+7)2=78

Step by step solution

01

Given information

A sphere with center (2, 5, -7) and containing the origin.

02

Finding the radius of sphere

The radius will be distance between the origin (through which the sphere passes) and center of sphere.

Radius is:

(0-2)2+(0-5)2+(0+7)2

Simplifying:

78

03

Finding the equation

The equation of sphere is:

(x-2)2+(y-5)2+(z+7)2=(78)2

Simplify:

(x-2)2+(y-5)2+(z+7)2=78

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Most popular questions from this chapter

In Exercises 30鈥�35 compute the indicated quantities when u=(鈭�3,1,鈭�4),v=(2,0,5),andw=(1,3,13)

Find the area of the parallelogram determined by the vectors u and v.

If u脳v=uv, what is the geometric relationship between u and v?

Find PQ鈬赌

P=5,-3,Q=3,-6

In Exercises 30鈥�35 compute the indicated quantities when

u=(鈭�3,1,鈭�4),v=(2,0,5),andw=(1,3,13)

u脳vandv脳u

In Exercises 20-23, find the dot product of the given pairs of vectors and the angle between the two vectors.

u=2,0,-5,v=-3,7,-1
See all solutions

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