Let C be the line segment connecting the point p = (2,5,0) to the point q = (0, 6, –5). Find a curve c(t) : [0, 1] → R° that traces out C, the arc length of c(t), and ||p - q|l. (Express numbers in exact form. Use symbolic notation and fractions where needed. For c(t), write you solution using the ve notation (*, *, *) and use t for the parameter that takes all real values.) c(t) = L(c) = Ilp – q|| =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 32E
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Let C be the line segment connecting the point p = (0,6, –5). Find a curve c(t) : [0, 1] → R that
(2,5, 0) to the point q =
traces out C, the arc length of c(t), and ||p – ql| .
(Express numbers in exact form. Use symbolic notation and fractions where needed. For c(t), write you solution using the vector
notation (*, *, *) and use t for the parameter that takes all real values.)
c(t) =
L(c) =
llp – q| =
Transcribed Image Text:Let C be the line segment connecting the point p = (0,6, –5). Find a curve c(t) : [0, 1] → R that (2,5, 0) to the point q = traces out C, the arc length of c(t), and ||p – ql| . (Express numbers in exact form. Use symbolic notation and fractions where needed. For c(t), write you solution using the vector notation (*, *, *) and use t for the parameter that takes all real values.) c(t) = L(c) = llp – q| =
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