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

$ y < 8 $

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Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 1

Three-Dimensional Coordinate Systems

Vectors

Johns Hopkins University

Missouri State University

Campbell University

Harvey Mudd College

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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00:57

All right, Sophie, draw our X Y Z axis. Here's why. Here's axe here, Z, here's the point eight. So everything less than eight. So if we think about this, this is really just a plane. We want everything less than that. Planes, everything to their write of this to the left of this plane here. Okay?

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