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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

Find PQ→.

P=(3,6),Q=(−3,−2)

In Exercises 22–29 compute the indicated quantities when u=(2,1,−3),v=(4,0,1),andw=(−2,6,5)

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

In Exercises 24-27, find compuv, projuv, and the component of v orthogonal tou.

u=1,2,v=3,5

What is the definition of the triple scalar product for vectors u, v and w in ℝ3?

In Exercises 37–42, find v and find the unit vector in the direction of v.

v=15,13
See all solutions

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