Find the parametric equations for the line segment from P to Q. (0 less than or equal to t less than or equal to 1) P=(11,3,2), Q=(9,6,-1)

Luciano Webster 2022-07-28 Answered
Find the parametric equations for the line segment from P to Q. (0 less than or equal to t less than or equal to 1)
P=(11,3,2), Q=(9,6,-1)
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Answers (1)

Brienueentismvh
Answered 2022-07-29 Author has 11 answers
when t = 0, r = <11, 3, 2>
when t = 1, r = <9, 6, -1>
the difference between these vectors is <9,6,-1> -<11,3,2> = <-2, 3, -3>
therefore the vector equation of the line segment is...
<11,3,2> + t*<-2,3,-3>
notice that the conditions above are satisfied, therefore the parametric equations are...
x = 11 - 2t
y = 3 + 3t
z = 2 - 3t
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