t – 5 Find the point on the line p(t) = t+2 that is closest to (1,2,1). 2t – 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
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How do you solve this using vectors? (not derivatives)

How do you rewrite the line equation like the second picutre?

t – 5
t+ 2
2t – 1
Find the point on the line p(t) =
that is closest to (1,2,1).
Transcribed Image Text:t – 5 t+ 2 2t – 1 Find the point on the line p(t) = that is closest to (1,2,1).
x- Xo
a
Writing in coordinates gives
y- yo
= t
b
,which we can rewrite as:
z- Zo
a
y
yo
b
Zo
Transcribed Image Text:x- Xo a Writing in coordinates gives y- yo = t b ,which we can rewrite as: z- Zo a y yo b Zo
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