4 /5 . 135% + - (a) Find parametric equations for the line of intersection of the planes x+2y- = 3 and r 3y +z=-2. %3D (b) Use intercepts to sketch the part of the plane 3x +y + 2z = 6 that lies in the first octant.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Exercise: Analyzing Planes in Three-Dimensional Space**

**(a)** Find parametric equations for the line of intersection of the planes:
\[ x + 2y - z = 3 \]
and
\[ x - 3y + z = -2. \]

**(b)** Use intercepts to sketch the part of the plane:
\[ 3x + y + 2z = 6 \]
that lies in the first octant.
Transcribed Image Text:**Exercise: Analyzing Planes in Three-Dimensional Space** **(a)** Find parametric equations for the line of intersection of the planes: \[ x + 2y - z = 3 \] and \[ x - 3y + z = -2. \] **(b)** Use intercepts to sketch the part of the plane: \[ 3x + y + 2z = 6 \] that lies in the first octant.
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In X plane, put y=z=0 & in Y plane put x=z=0 &in Z plane put x=y=0

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