Given A = (a₁, a2, a3) and B = (b₁,b2, b3) a parametrization of the segment line joining B to A is given by (a)X(t) = ((b₁-a₁)t + α₁, (b₂ − a₂)t + a₂, (b3 − a3)t + α3) for t = [0, 1] - (b)X(t) = ((a₁ - b₁)t + b₁, (a₂ − b₂)t + b₂, (a3 − b3)t + b3) for t € [0, 1] - (c)X(t) = ((b₁-a₁)t + b₁, (b₂ − a₂)t + b2, (b3 − A3)t + b3) for t = [0, 1] -
Given A = (a₁, a2, a3) and B = (b₁,b2, b3) a parametrization of the segment line joining B to A is given by (a)X(t) = ((b₁-a₁)t + α₁, (b₂ − a₂)t + a₂, (b3 − a3)t + α3) for t = [0, 1] - (b)X(t) = ((a₁ - b₁)t + b₁, (a₂ − b₂)t + b₂, (a3 − b3)t + b3) for t € [0, 1] - (c)X(t) = ((b₁-a₁)t + b₁, (b₂ − a₂)t + b2, (b3 − A3)t + b3) for t = [0, 1] -
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
![Given A =
(a1, a2, az) and B = (b1, b2, b3) a parametrization of the
segment line joining B to A is given by
(a)X(t) = ((b, – a,)t + a4, (bz – az)t + az, (bz – az)t + az) for t E [0, 1]
(b)X(t) = ((a, – b,)t + b,, (az – bz)t + b2, (az – b3)t + b3) for t E [0,1]
(c)X(t) = ((b, – a,)t + b,, (b, – az)t + b2, (bz – a3)t + b3) for t € [0, 1]
(a)
O (b)
O (c)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28359d3a-2e87-46f0-9238-a8fc9c45d76b%2F15895aa8-64b9-465e-862e-8b17b45c2697%2Fw7d0ddn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given A =
(a1, a2, az) and B = (b1, b2, b3) a parametrization of the
segment line joining B to A is given by
(a)X(t) = ((b, – a,)t + a4, (bz – az)t + az, (bz – az)t + az) for t E [0, 1]
(b)X(t) = ((a, – b,)t + b,, (az – bz)t + b2, (az – b3)t + b3) for t E [0,1]
(c)X(t) = ((b, – a,)t + b,, (b, – az)t + b2, (bz – a3)t + b3) for t € [0, 1]
(a)
O (b)
O (c)
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