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Consider points P and Q. Let L be the line passing through points P and Q. P(-5, 7, 9), Q(6, –8, 2) (a) Find the vector equation of line L. r(t) = X Your answer cannot be understood or graded. More Information (b) Find parametric equations of line L. (Enter your answers as a comma-separated list of equations. Use t as the independent variable.) (c) Find symmetric equations of line L. x - 5 _ y - 7 _ z - 9 %3D -11 -15 -7 x + 5 y + 7 _ z - 9 11 15 -7 x + 5 y - 7 _ z + 9 %3D 11 15 7 x + 5 y - 7 z - - 9 = 11 15 -7 x + 5 _ y – 7 z - 9 -7 = %3D = 11 -15 (d) Find parametric equations of the line segment determined by P and Q. (Enter your answers as a comma-separated list of equations. Assume 0 st s 1.)

Consider points P and Q. Let L be the line passing through points P and Q. P(-5, 7, 9), Q(6, –8, 2) (a) Find the vector equation of line L. r(t) = X Your answer cannot be understood or graded. More Information (b) Find parametric equations of line L. (Enter your answers as a comma-separated list of equations. Use t as the independent variable.) (c) Find symmetric equations of line L. x - 5 _ y - 7 _ z - 9 %3D -11 -15 -7 x + 5 y + 7 _ z - 9 11 15 -7 x + 5 y - 7 _ z + 9 %3D 11 15 7 x + 5 y - 7 z - - 9 = 11 15 -7 x + 5 _ y – 7 z - 9 -7 = %3D = 11 -15 (d) Find parametric equations of the line segment determined by P and Q. (Enter your answers as a comma-separated list of equations. Assume 0 st s 1.)

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.6: Equations Of Lines And Planes
Problem 1E
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Question
Consider points P and Q. Let L be the line passing through points P and Q.
P(−5, 7, 9),  Q(6, −8, 2)
(a)
Find the vector equation of line L.
r(t) =
 
 
Your answer cannot be understood or graded. More Information
(b)
Find parametric equations of line L. (Enter your answers as a comma-separated list of equations. Use t as the independent variable.)
 
 
(c)
Find symmetric equations of line L.
x − 5
−11
 = 
y − 7
−15
 = 
z − 9
−7
x + 5
11
 = 
y + 7
15
 = 
z − 9
−7
    
x + 5
11
 = 
y − 7
15
 = 
z + 9
7
x + 5
11
 = 
y − 7
15
 = 
z − 9
−7
x + 5
11
 = 
y − 7
−15
 = 
z − 9
−7
(d)
Find parametric equations of the line segment determined by P and Q. (Enter your answers as a comma-separated list of equations. Assume
0 ≤ t ≤ 1.)
Consider points P and Q. Let L be the line passing through points P and Q. P(-5, 7, 9), Q(6, –8, 2) (a) Find the vector equation of line L. r(t) = X Your answer cannot be understood or graded. More Information (b) Find parametric equations of line L. (Enter your answers as a comma-separated list of equations. Use t as the independent variable.) (c) Find symmetric equations of line L. х — 5 У - 7 Z - 6- -11 -15 -7 X + 5 y + 7 Z - 9 = 11 15 -7 х+ 5 y - 7 z + 9 11 15 7 x + 5 У - 7 Z - 9 11 15 -7 X + 5 y - 7 z - 9 11 -15 -7 (d) Find parametric equations of the line segment determined by P and Q. (Enter your answers as a comma-separated list of equations. Assume 0 <t < 1.)
Transcribed Image Text:Consider points P and Q. Let L be the line passing through points P and Q. P(-5, 7, 9), Q(6, –8, 2) (a) Find the vector equation of line L. r(t) = X Your answer cannot be understood or graded. More Information (b) Find parametric equations of line L. (Enter your answers as a comma-separated list of equations. Use t as the independent variable.) (c) Find symmetric equations of line L. х — 5 У - 7 Z - 6- -11 -15 -7 X + 5 y + 7 Z - 9 = 11 15 -7 х+ 5 y - 7 z + 9 11 15 7 x + 5 У - 7 Z - 9 11 15 -7 X + 5 y - 7 z - 9 11 -15 -7 (d) Find parametric equations of the line segment determined by P and Q. (Enter your answers as a comma-separated list of equations. Assume 0 <t < 1.)
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