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Parametric Equations for Line Segment in 3D Space - Prof. Sean F. Ellermeyer, Quizzes of Advanced Calculus

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.

Typology: Quizzes

2010/2011

Uploaded on 06/03/2011

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MATH 2203 –Quiz 3 (Version 1) Solution
September 17, 2007
NAME____________________________________
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 =h30;11;12i=h3;2;1i. Parametric equations for the line
segment joining Pto Qare
x= 0 + 3t
y= 1 2t
z= 2 t
0t1.
1

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MATH 2203 ñQuiz 3 (Version 1) Solution September 17, 2007

NAME____________________________________

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.