Find a vector parametric equation r(t) for the line through the points P = (4, -3, 4) and Q = (3, -6, 2) for each of the given conditions on the parameter t. (a) If (0) = (4, −3, 4) and (2) 3t t r(t) = <4- -,-3 (b) If 7(6) = P P r(t) =<7- - and 7(8): and - t r(t) = <4- 4' = 7(8) = Q, then 6 3,10-t> - ,4-t> (c) If the points P and Q correspond to the parameter values t = 0 and t = -4, respectively, then 3t 4 (3, -6, 2), then
Find a vector parametric equation r(t) for the line through the points P = (4, -3, 4) and Q = (3, -6, 2) for each of the given conditions on the parameter t. (a) If (0) = (4, −3, 4) and (2) 3t t r(t) = <4- -,-3 (b) If 7(6) = P P r(t) =<7- - and 7(8): and - t r(t) = <4- 4' = 7(8) = Q, then 6 3,10-t> - ,4-t> (c) If the points P and Q correspond to the parameter values t = 0 and t = -4, respectively, then 3t 4 (3, -6, 2), then
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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Question
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![Find a vector parametric equation r(t) for the line
through the points P = (4, -3, 4) and Q = (3, -6, 2)
for each of the given conditions on the parameter t.
(a) If 7 (0)
=
(4, −3, 4) and 7(2) = (3, −6, 2), then
r(t) = <4- -3
r(t) =
(b) If 7(6)=
= P
r(t) = <7-
t
2
2
P and 7(8)
and
= <4-
-
14
9
3t
2
4-t>
(c) If the points P and Q correspond to the parameter
values t = 0 and t = -4, respectively, then
=
3t
3,4->
-3
9
7(8) = Q, then
3t
121,6-321 ,10-t>](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbaa64798-ff50-47d6-b342-20b56281101d%2Ff039eddd-4a95-478f-a753-4390036ae180%2F5keqjvf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find a vector parametric equation r(t) for the line
through the points P = (4, -3, 4) and Q = (3, -6, 2)
for each of the given conditions on the parameter t.
(a) If 7 (0)
=
(4, −3, 4) and 7(2) = (3, −6, 2), then
r(t) = <4- -3
r(t) =
(b) If 7(6)=
= P
r(t) = <7-
t
2
2
P and 7(8)
and
= <4-
-
14
9
3t
2
4-t>
(c) If the points P and Q correspond to the parameter
values t = 0 and t = -4, respectively, then
=
3t
3,4->
-3
9
7(8) = Q, then
3t
121,6-321 ,10-t>
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