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The solution to quiz 3, question 1 in math 2203, which asks to find the parametric equations for the line segment joining two points p(0, 1, 2) and q(3, -1, 1) in three-dimensional space.
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MATH 2203 ñQuiz 3 (Version 1) Solution September 17, 2007
Find parametric equations for the line segment that joints the point P (0; 1 ; 2) to the point Q (3; 1 ; 1).
Solution: A direction vector for the line containing these two points is ! P Q = h 3 0 ; 1 1 ; 1 2 i = h 3 ; 2 ; 1 i. Parametric equations for the line segment joining P to Q are
x = 0 + 3t y = 1 2 t z = 2 t 0 t 1.