Find sets of parametric equations and symmetric equations of the line that passes through the two points (if possible). (For each line, write the direction numbers as integers.) (0, 0, 25), (15, 15, 0) (a) parametric equations (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) (b) symmetric equations 15 O 3x = 3y = 5z - 25 O 15x = 15y = 25z - 5 y - 5 z - 5 25 x - 5 15

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 37E
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Find sets of parametric equations and symmetric equations of the line that passes through the two points (if possible). (For each line, write the direction numbers as integers.)
(0, 0, 25), (15, 15, 0)
(a) parametric equations (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.)
(b) symmetric equations
z - 5
y
15
15
25
O 3x = 3y = 5z - 25
O 15x = 15y = 25z – 5
O X- 5
15
y - 5 _ z - 5
15
25
z - 25
3.
3
-5
Transcribed Image Text:Find sets of parametric equations and symmetric equations of the line that passes through the two points (if possible). (For each line, write the direction numbers as integers.) (0, 0, 25), (15, 15, 0) (a) parametric equations (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) (b) symmetric equations z - 5 y 15 15 25 O 3x = 3y = 5z - 25 O 15x = 15y = 25z – 5 O X- 5 15 y - 5 _ z - 5 15 25 z - 25 3. 3 -5
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