Question

Sketch the planes. $$ x=-3 $$

Name: Problem 39, Chapter 15: Finite Mathematics and Applied Calculus
Uploaded: 2021-10-16T03:08:51-08:00
Duration: 1 min 50 s
Channel: Harshita Goel
Description: Sketch the planes. x=-3

   Sketch the planes.
$$
x=-3
$$

Finite Mathematics and Applied Calculus

Stefan Waner, Steven… 5th Edition

Chapter 15, Problem 39

Instant Answer

Solved by Expert Harshita Goel

10/16/2021

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The x-axis, y-axis, and z-axis are all perpendicular to each other. Show more…

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Sketch the planes. $$ x=-3 $$

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Key Concepts

Cartesian Coordinate System

The Cartesian Coordinate System uses three perpendicular axes (x, y, and z) to define any point in space with a coordinate triplet. This system provides a framework for graphing and visualizing geometric objects in three dimensions, and it is essential for understanding how equations relate to shapes in space.

Plane Equation in 3D Space

A plane in three-dimensional space can be defined by a linear equation in x, y, and z. The equation x = -3 represents a plane where the x-coordinate remains constant at -3 for all points, meaning the plane extends infinitely in the y and z directions. This concept is fundamental in visualizing and sketching planes in analytic geometry.

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