assignment2.pdf - University of Toronto at Scarborough Department of Computer and Mathematical Sciences Techniques of the Calculus of Several Variables

# assignment2.pdf - University of Toronto at Scarborough...

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University of Toronto at Scarborough Department of Computer and Mathematical Sciences Techniques of the Calculus of Several Variables I MATB41 Fall 2019 Assignment # 2 You are expected to work on this assignment prior to your tutorial in the week of Sept. 16 th , 2019. You may ask questions about this assignment in that tutorial. This assignment is due at the start of your tutorial in the week of Sept 23 th , 2019. Textbook: Vector Calculus By Marsden and Tromba 6 th edition Read: Chapter 1, and Chapter 2 section 4, Lecture Notes in weeks 1&2 Problems: 1. For each of the following lines, write its equation in vector form and parametric form: a) The line passes through the point P 0 (1, -3, 2) in the direction of v = [2, 3, -1]. b) The line passes through points P 0 (-1, -3, 4) and P 1 (2, 2, 1). c) The line is perpendicular to the line r 1 (t) = (4 – t, 1 + 2t, 3t) and the line r 2 (s) = (-1 + s, 3 + 2s, 7 + s) and passes through the point of the intersection of the two lines r 1 and r 2 .

• Spring '14

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