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More Sample problems - 2 Math1502Q2Ans.nb Math 1502 Problem...

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Math 1502 Problem 2 (10 points) Find a parametrization of the line that is the intersection of the planes P: x - 2 y - z = 4 and Q: 2x + y + z = 2. Ans There are many different ways to do this. Solve @8 x - 2y - z 4, 2x + y + z 2 < , 8 x, y <D :: x fi 8 - z 5 , y fi - 3 5 H 2 + z L>> Letz = tandgo: 9 x = 8 - t 5 , y fi - 3 5 H 2 + t L , z = t = Or how about this? eqns = 8 x - 2y - z 4, 2x + y + z 2 < 8 x - 2y - z 4,2x + y + z 2 < eqns . z fi 0 8 x - 2y 4,2x + y 2 < Solve @ eqns . z fi 0, 8 x, y <D :: x fi 8 5 , y fi - 6 5 >> So one point in the intersection is (8/5, -6/5, 0) Cross @8 1, - 2, - 1 < , 8 2,1,1 <D 8 - 1, - 3,5 < Isadirrectionoftheline 2 Math1502Q2Ans.nb
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Math 1502 Quiz #2 Oct 8 Tom Morley 8:00 am. Put name and TAs name on each page. Do not Staple. Name: ______________________________________ TA: Problem 3: (10 Points)
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