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Homework_3

# Homework_3 - MATH 230 HOMEWORK 3 DUE IN CLASS ON PAUL...

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MATH 230 HOMEWORK 3 - DUE IN CLASS ON 9/14/09 PAUL SIEGEL, INSTRUCTOR Instructions: Solve all problems completely. The use of calculators or computer aids is permitted but not required; full credit will be given only if all work is shown. You are encouraged to work with other students, but the solutions that you hand in must be written by you in your own words and they should be a re ection of your own thinking. If you do choose to work with other students, please hand in a list of all group members with your solutions. Problem 1. Section 13.5. Find parametric equations for each of the lines described below. (a) The line which contains the point ( 1 ; 5 ; 4) and which is parallel to v = h 3 ; 0 ; 2 i (b) The line which contains the points (1 ; 3 ; 5) and (4 ; 2 ; 4) (c) The line which contains the point (4 ; 3 ; 1) and which is perpendicular to the plane x + 3 z = 4 + y . (d) The line of intersection for the planes x + 2 y z = 2 and 3 x + 2 y + 2 z = 7. Problem 2. Section 13.5.

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