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 X - 1 y + 1 (-4, 6, 3) = z - 4 -4 (a) parametric equations (Enter your answers as a comma-separated list.) (-4+ 3t,6 – 4t,3 + t) (b) symmetric equations X- 4 = Y=0 = z 3 -4 x + 4 y - 6 = z - 3 3. -4 x - 3 y + 6 3 -4 * + 4 =Y- 4 - = z + 3 3 6.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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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
(-4, 6, 3)
X - 1
y + 1
= z - 4
=
-4
(a) parametric equations (Enter your answers as a comma-separated list.)
(-4+ 3t,6 – 4t,3 + t)
(b) symmetric equations
X - 4
y - 6
= Z
-4
3
x + 4
y - 6
= z - 3
3.
-4
X - 3
y + 6
%3D
3.
x + 4
y - 4
= z + 3
3.
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 (-4, 6, 3) X - 1 y + 1 = z - 4 = -4 (a) parametric equations (Enter your answers as a comma-separated list.) (-4+ 3t,6 – 4t,3 + t) (b) symmetric equations X - 4 y - 6 = Z -4 3 x + 4 y - 6 = z - 3 3. -4 X - 3 y + 6 %3D 3. x + 4 y - 4 = z + 3 3.
Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q corresponds to t = 1.)
%3D
P(-7, –5, –1), Q(-1, –7, –9)
r(t) =
Represent the line segment from P to Q by a set of parametric equations. (Enter your answers as a comma-separated list of equations.)
Transcribed Image Text:Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q corresponds to t = 1.) %3D P(-7, –5, –1), Q(-1, –7, –9) r(t) = Represent the line segment from P to Q by a set of parametric equations. (Enter your answers as a comma-separated list of equations.)
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