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

$ 0 \le z \le 6 $

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Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 1

Three-Dimensional Coordinate Systems

Vectors

Johns Hopkins University

Oregon State University

University of Michigan - Ann Arbor

University of Nottingham

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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Describe in words the regi…

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0:00

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$23-32$ Describe in words …

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$23-34$ Describe in words …

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02:52

Okay, So if we look at the X y z axis here sex, see who got the Z equals zero plane. So you could imagine it's like that. Then we got Ziegel. Six plane up here says that sixth zero. We want everything in between here. This obviously goes on forever. It's kind of like an infinite a rectangular prism.

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