II. Consider the points P(1, 0, 3) and Q(5, 2, -1) and the line 1: x = -7- 2t y = t z = 9+t 1. Find the symmetric equations of the line containing P and Q. 2. Find the coordinates of the point of intersection of 1 and the line obtained in II.1. 3. Find the the point-normal equation of the plane containing Q and 1. 4. Sketch a portion of the plane obtained in II.3. in the first octant.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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II. Consider the points P(1, 0, 3) and Q(5, 2, -1) and the line 1:
x = -7- 2t
y = t
z = 9+t
1. Find the symmetric equations of the line containing P and Q.
2. Find the coordinates of the point of intersection of 1 and the line obtained in II.1.
3. Find the the point-normal equation of the plane containing Q and 1.
4. Sketch a portion of the plane obtained in II.3. in the first octant.
Transcribed Image Text:II. Consider the points P(1, 0, 3) and Q(5, 2, -1) and the line 1: x = -7- 2t y = t z = 9+t 1. Find the symmetric equations of the line containing P and Q. 2. Find the coordinates of the point of intersection of 1 and the line obtained in II.1. 3. Find the the point-normal equation of the plane containing Q and 1. 4. Sketch a portion of the plane obtained in II.3. in the first octant.
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