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Problem

Describe in words the region of $ \mathbb{R}^3 $ …

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Problem 32 Hard Difficulty

Describe in words the region of $ \mathbb{R}^3 $ represented by the equation(s) or inequality.

$ x^2 + y^2 = 4 $


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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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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
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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

Okay, so we have an equation. X square plus was weeks poor. So Okay, this is the circle in art too. But what does it represent? Our three we're first in the jaw is graphene are too explain. See, the a reason O So the readers of the circles too, So happy we are to use this. So now with hidden in whoa recorded See what we can see That there's no Z in the equation. So the circle as a swear Rico's a square passwords for export It just a projection of the whole graft onto the ax or what? Plea. So now he is free the means we can too see freely from the whole room number. So finally, the regions or the graph of this equation after it's gonna be like a silent here. So it's like a Southerner and yes, we cutting If we cut it comes that under. In that parallel to ATS wise could be like a circle which is parallel. Two is production onto oh Wayne train. So, Ravi, the gravis will in this. But the length of it is infinite because you go through the whole rule number off the the White Z coordinates go through the whole room number. So this Salinger with even then this

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Video Thumbnail

11:08

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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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