Spring 2007 - Linshaw's Class - Exam 1

# Spring 2007 - Linshaw's Class - Exam 1 - Name PID TA Sec No...

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Unformatted text preview: Name: PID: TA: Sec. No: Sec. Time: Math 20C. Midterm Exam 1 April 25, 2007 Turn off and put away your cell phone. You may use one page of notes, but no books or other assistance. Read each question carefully, and answer each question completely. Show all of your work; no credit will be given for unsupported answers. Write your solutions clearly and legibly; no credit will be given for illegible solutions. If any question is not clear, ask for clarification. # Points Score 1 14 2 14 3 12 4 8 Σ 48 1. a. (6 points) Find the equation for the plane P containing the points A = (1 , 3 , 1) , B = ( − 3 , − 1 , − 3) , C = (5 , − 2 , 2) . Solution: 2 x + y − 3 z − 2 = 0. b. (4 points) Find parametric equations for the line L through the points R = (1 , 5 , 3) and S = ( − 2 , 6 , 2). Solution: The line is parallel to the vector v = − 3 i + j − k and passes through the point (1 , 5 , 3). So one choice of parametric equations is: x = 1 − 3 t, y = 5 + t, z = 3 − t....
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Spring 2007 - Linshaw's Class - Exam 1 - Name PID TA Sec No...

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