3 4 33. Determine the vector equation, parametric equations, and, if possible, symmetric equation of the line that passes through the point P(1, 3, 5) and a. has direction vector (-2, -4, -10) b. also passes through the point Q(-7, 9, 3) c. is parallel to the line that passes through R(4, 8, -5) and S(-2, -5,9) d. is parallel to the .x-axis e. is perpendicular to the line (x, y, z) = (1, 0, 5) + (-3, 4, -6) f. is perpendicular to the plane determined by the points A(4, 2, 1), 4 2), and C(-3, 2, 1) nd 59 nsv of -3 of the plane that

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
Question
3
4
33. Determine the vector equation, parametric equations, and, if possible,
symmetric equation of the line that passes through the point P(1, 3, 5) and
a. has direction vector (-2, -4, -10)
b. also passes through the point Q(-7, 9, 3)
c. is parallel to the line that passes through R(4, 8, -5) and S(-2, -5,9)
d. is parallel to the .x-axis
e. is perpendicular to the line (x, y, z) = (1, 0, 5) + (-3, 4, -6)
f. is perpendicular to the plane determined by the points A(4, 2, 1),
4 2), and C(-3, 2, 1)
nd
59
nsv
of
-3
of the plane that
Transcribed Image Text:3 4 33. Determine the vector equation, parametric equations, and, if possible, symmetric equation of the line that passes through the point P(1, 3, 5) and a. has direction vector (-2, -4, -10) b. also passes through the point Q(-7, 9, 3) c. is parallel to the line that passes through R(4, 8, -5) and S(-2, -5,9) d. is parallel to the .x-axis e. is perpendicular to the line (x, y, z) = (1, 0, 5) + (-3, 4, -6) f. is perpendicular to the plane determined by the points A(4, 2, 1), 4 2), and C(-3, 2, 1) nd 59 nsv of -3 of the plane that
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