The point (5, 43, 27) is on the line (t) = (5,3,7) + t(0, 4, 2). At what value of t does this point occur on the line? t=

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 22CT
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The point (5, 43, 27) is on the line
(t) = (5,3,7) + t(0, 4, 2). At what value of t does this point occur on the line?
t =
If the line (t) = (3,3,3)+ t (6,9,6) is parallel to the line (r) = (4, 4, 6) + r (36, k, 36) then
k=
If the line (t) = (8,7) + t (6,8) is orthogonal to the line (r) = (0,7) +r(-24, k) then k =
Transcribed Image Text:The point (5, 43, 27) is on the line (t) = (5,3,7) + t(0, 4, 2). At what value of t does this point occur on the line? t = If the line (t) = (3,3,3)+ t (6,9,6) is parallel to the line (r) = (4, 4, 6) + r (36, k, 36) then k= If the line (t) = (8,7) + t (6,8) is orthogonal to the line (r) = (0,7) +r(-24, k) then k =
Expert Solution
Step 1

Given that, the point 5, 43, 27 is on the line xt=5, 3, 7+t0, 4, 2

We have to find the value of t.

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