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Chapter 10: Q 8 (page 848)

Given a sphere with center (4, 6, 2), (1, 3, -5) is a point on the sphere.

Short Answer

Expert verified

The required equation is:

(x-4)2+(y-6)2+(z-2)2=62

Step by step solution

01

Given information

Given a sphere with center (4, 6, 2), (1, 3, -5) is a point on the sphere.

02

Finding the radius of sphere

The radius of sphere will be the distance between the center and given point on sphere.

Radius, using the distance formula, is:

(1-3)2+(3-6)2+(-5-2)2

Radius is:

62

03

Finding the equation

The required equation is:

(x-4)2+(y-6)2+(z-2)2=(62)2

Simplify:

(x-4)2+(y-6)2+(z-2)2=62

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Most popular questions from this chapter

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

u=3,-1,2,v=-4,-6,3

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

role="math" localid="1649693816584" u=3,1,-2,v=-6,-2,4

Find the norm of the vector.v=3,鈭�4

Find u+vand u-v. Also, sketch u,v,u+vand u-v.

role="math" localid="1649572653771" u=2,-6,v=6,2,

Find u+vand u-v. Also sketchu,v,u+vand u-v.

role="math" localid="1649578020551" u=3,-4andv=-1,5
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