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Match the equation with its graph (labeled I-VIII). Give reasons for your choice.

$ -x^2 + y^2 - z^2 = 1 $

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01:37

Wen Zheng

Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 6

Cylinders and Quadric Surfaces

Vectors

Johns Hopkins University

Oregon State University

University of Nottingham

Idaho State University

Lectures

02:56

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.

11:08

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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Match the equation with it…

00:56

01:54

0:00

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01:32

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01:33

Mhm. Well, you can see this is the graph and this is this is somehow like funny on infinite cylinder. Damn. And and every point out if you're interested, a plane will get a circle at every point. These black circles, as you can see. These are concentric circles, the start and group, and then the intersection comes from the hip Ebola, which is the part that comes from high school. And and therefore uh the answer to this is three as you can see uh from from the choices. Yeah.

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