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

$ x^2 + y^2 + z^2 \le 4 $

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This region contains all points on and inside a sphereThe radius of the sphere is 2 and centre is at origin

Calculus 3

Chapter 12

Vectors and the Geometry of Space

Section 1

Three-Dimensional Coordinate Systems

Vectors

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University of Michigan - Ann Arbor

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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.

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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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Describe in words the regi…

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right. So what is this region where we can see that this is a spear, and the radius is for? And this inequality means that since it's less than or equal to, So that means it could be on the surface of the sphere or inside the sphere. Okay, so everything on an inside the surface of a sphere. And I'm sorry, this is with the radius to

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