Question

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

Name: Problem 38, Chapter 15: Finite Mathematics and Applied Calculus
Uploaded: 2021-10-16T03:08:58-08:00
Duration: 1 min 50 s
Channel: Harshita Goel
Description: Sketch the planes. y=-3

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

Finite Mathematics and Applied Calculus

Stefan Waner, Steven… 5th Edition

Chapter 15, Problem 38

Instant Answer

Solved by Expert Harshita Goel

10/16/2021

Step 1

This equation represents a plane parallel to the xz-plane at a distance of 3 units below the xz-plane. Show more…

Show all steps

Thanks for your feedback!

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

Play audio

Feedback

Harshita Goel and 57 other subject Calculus 3 educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Cartesian Coordinate System

The Cartesian coordinate system provides a framework for representing points in space using three axes: x, y, and z. This system allows for precise descriptions of geometric shapes and their orientations in three-dimensional space.

Equation of a Plane in 3D

An equation of the form y = -3 represents a plane where the y-coordinate is constant for all points. This means that any point (x, y, z) on the plane will satisfy y = -3, irrespective of the values of x and z, forming a flat surface that spans infinitely along the x and z directions.

Geometric Orientation of Constant Coordinate Planes

A plane defined by a constant coordinate, such as y = -3, is parallel to the other coordinate planes where that coordinate is not fixed. In this case, it is parallel to the xz-plane. Recognizing such orientations aids in visualizing and sketching the plane within three-dimensional space.

Please give Ace some feedback