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Find an equation of the sphere that passes throug…

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Problem 14 Medium Difficulty

Find an equation of the sphere with center $ (2, -6, 4) $ and radius 5. Describe its intersection with each of the coordinate planes.


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Alan Ghazarians

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Jacquelyn Trost

Related Courses

Calculus 3

Calculus: Early Transcendentals

Chapter 12

Vectors and the Geometry of Space

Section 1

Three-Dimensional Coordinate Systems

Related Topics

Vectors

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Lectures

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Vectors Intro

In mathematics, a vector (from the Latin word "vehere" meaning "to carry") is a geometric entity that has magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra. Vectors play an important role in physics, engineering, and mathematics.

Video Thumbnail

11:08

Vector Basics Overview

In mathematics, a vector (from the Latin word "vehere" which means "to carry") is a geometric object that has a magnitude (or length) and direction. A vector can be thought of as an arrow in Euclidean space, drawn from the origin of the space to a point, and denoted by a letter. The magnitude of the vector is the distance from the origin to the point, and the direction is the angle between the direction of the vector and the axis, measured counterclockwise.

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Watch More Solved Questions in Chapter 12

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48

Video Transcript

we have a question and this we need to find a question of the sphere with center to common minus six comma four. So center if this is fair, so center is being given as two comma minus 64 and radius is fight. Okay so question of his fear will be equal to x minus H. Hold square plus y minus K. Why minus f. Whole square plus zed minor G Whole square equal to our square. So X minus the X coordinate of center to hold square plus Y minus -6 Whole Square. It was at -4. Hold Squire equal to five square. Let us open it up. This will be access squared platform minus four X. Plus. Why? This will become Y plus six or why square Plus 36 plus 12. Y Plus that square plus 16 -8. said Equal to 25. Let's write it like that's a Squire plus Y squared Because that is Square -4 x less 12 y minus eight. Set and four plus 36 40 plus. Uh 1640 plus 16 is 56 plus 31 equal to zero. This is the required a question of this fear. Thank you

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Calculus: Early Transcendentals

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Video Thumbnail

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Video Thumbnail

11:08

Vector Basics Overview

In mathematics, a vector (from the Latin word "vehere" which means "to carry") is a geometric object that has a magnitude (or length) and direction. A vector can be thought of as an arrow in Euclidean space, drawn from the origin of the space to a point, and denoted by a letter. The magnitude of the vector is the distance from the origin to the point, and the direction is the angle between the direction of the vector and the axis, measured counterclockwise.

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