Ch14_review_sheet - 6. Given points P0(2, 7, 13), P1((-1,...

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Chapter 14 Review Algebra II Honors – Mr. Petach Please write your answers on a separate sheet! 1. Given ~v = 3 ~ i + 2 ~ j - 7 ~ k , ~u = - 7 ~ i + 15 ~ j - 10 ~ k . Find the following: (a) ~v + ~u (b) ~v - ~u (c) - 3 ~v + 2 ~u 2. Given P(2, -7, 3), R(15, 3, 7), S(-20, -11, 5) and T(-7, -1, 9). Is ~ PR = ~ ST ? 3. Three vectors with magnitude 7, 15 and 274 have a sum that is equal to the null vector. Illustrate how this is possible. 4. Find the vector equation for a line given the points ( a 1 ,b 1 ,c 1 ) and ( a 2 ,b 2 ,c 2 ). 5. Given P(1, 7, -13) and Q(-3, -7, 12) (a) Find the midpoint of the segment PQ. (b) Find the point that is 1/10 of the distance from P to Q. (c) Find the point that is 1/10 of the distance from Q to P.
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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.

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