Find sets of parametric equations and symmetric equations of the line that passes through the given point and is parallel to the given vector or line. (For each line, write the direction numbers as integers.) Point Parallel to (-6, 0, 8) v=3i+5j - 7k (a) parametric equations (Enter your answers as a comma-separated list.) (b) symmetric equations x + 6 8-z O 3x = = 1/²= = 7z X-6 0x²6=y= ² 0=y=

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Find sets of parametric equations and symmetric equations of the line that passes through the given point and is parallel to the given vector or line. (For each line, write the direction numbers as integers.)
Point
Parallel to
(-6, 0, 8)
v = 3i + 5j - 7k
(a) parametric equations (Enter your answers as a comma-separated list.)
(b) symmetric equations
x + 6
3
O
O 3x =
y
5
= 72
8-Z
7
OX-0-y-²
=y=
--
Transcribed Image Text:Find sets of parametric equations and symmetric equations of the line that passes through the given point and is parallel to the given vector or line. (For each line, write the direction numbers as integers.) Point Parallel to (-6, 0, 8) v = 3i + 5j - 7k (a) parametric equations (Enter your answers as a comma-separated list.) (b) symmetric equations x + 6 3 O O 3x = y 5 = 72 8-Z 7 OX-0-y-² =y= --
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