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Unformatted text preview: 6. Given points P0(2, 7, 13), P1((-1, 2, -11) and P2(-13, 7, 12). (a) Find the parametric equations of the plane that contains these points. (b) Find the vector equation for the plane. (c) Find the rectangular equation for the plane. 7. Illustrate and describe in your own words what the equation ~ r ( s,t ) = ~ r + s ~ P P 1 + t ~ P P 2 says. 8. Find the point of intersection of the line ~ p ( q ) = 2 ~ i-5 ~ j + 12 ~ k + q (5 ~ i-~ j + 6 ~ k ) and the plane ~ r ( s,t ) = 3 ~ i-15 ~ j + s (3 ~ i + 2 ~ j-5 ~ k ) + t ( ~ i-~ k ) Check your answer. 1...
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This note was uploaded on 05/13/2011 for the course MATH 101 taught by Professor Impemba during the Fall '10 term at Grand Valley State University.
- Fall '10