Find the equation of the following lines in the required form: a. through the points P(1, -3, 2) and Q(9,2,0) [vector equation]

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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Please solve using grade 12 vector concepts
Find the equation of the following lines in the required form:
a.
b.
C.
through the points P(1, -3, 2) and Q(9,2,0) [vector equation]
with direction vector d = (5,3,-4) and z-intercept 7 [symmetric equations]
perpendicular to (x, y, z) = (1, − 2, 0) + r(1, − 1, 1) through P(1,3,5) [parametric
equations]
through T(2,-5) and perpendicular to the line 3x-6y=5 [scalar equation]
Transcribed Image Text:Find the equation of the following lines in the required form: a. b. C. through the points P(1, -3, 2) and Q(9,2,0) [vector equation] with direction vector d = (5,3,-4) and z-intercept 7 [symmetric equations] perpendicular to (x, y, z) = (1, − 2, 0) + r(1, − 1, 1) through P(1,3,5) [parametric equations] through T(2,-5) and perpendicular to the line 3x-6y=5 [scalar equation]
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