223midterm220121sol - University of Toronto Department of...

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University of TorontoDepartment of MathematicsMAT223H1SLinear Algebra IMidterm Exam IIMarch 23, 2012P. Mondal, S. Morgan, H. Petzka, S. Uppal, Y. ZongDuration: 1 hour 30 minutesLast Name:Given Name:Student Number:Tutorial Group:No calculators or other aids are allowed.FOR MARKER USE ONLYQuestionMark1/102/103/104/105/106/5TOTAL/551of7
1.Consider the linesL1andL2whose parametric equations are given by(x, y, z) = (1,3,2) +s(1,0,2) and (x, y, z) = (-1,7,4) +t(-1,2,1)respectively.[5](a)Show thatL1andL2intersect and find the point of intersection.[5](b)Find the equation of the plane that containsL1andL2.

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