Need help with vector equation question
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Need help with vector equation question

[From: ] [author: ] [Date: 11-10-06] [Hit: ]
and what is x in this case?Thanks for any help.-1; x = [ 1 - t ] p + t q , when t = 0 ,x = p and t = 1 ,2; and when t = 1 / 2 ,......
Consider the vector equation x = p + t (q - p), where p and q correspond to distinct points P and Q in 2D or 3D.

1. Show that this equation describes the line segment PQ as t various from 0 to 1.

2. For which value of t is x the midpoint of PQ, and what is x in this case?

Thanks for any help.

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1; x = [ 1 - t ] p + t q , when t = 0 , x = p and t = 1 , x = q

2; and when t = 1 / 2 , x = [p+q] / 2
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