Express the given parametricequations of a line using bracket notation and also using i, j. k notation.(a) x = 31, y = -7+7tO (r, y) = (0, 3) + { – 7,7)ai + bj = -7j + 1(3i + 7j)O (x, y) = (- 7, 0) + 1(7, 3)ai + bj = -7i + 1(7i + 3j)O (r, y) = (3, 7) + 1(0, – 7)ai + bj = (3i + 7j) + 1( – 7j)O (x, y) = (0, 7) + 1(3, 7)ai + bj = 7j+ 1(3i + 7j)O (x, y) = (0, – 7) + 1(3, 7)ai + bj = -7j+ (3i + 7j)(b) x = 8 + 61,y = - 4+ 91, z = 6 - 61O (r, y, z) = (- 6, – 9, 6) + 1( – 8, 4, – 6)ai + bj + ck = (- 6i – 9j + 6k) + 1( - 8i + 4j – 6k)O (r, y, z) = (8, 4, 6) + 1(6, 9, 6)ai+ bj + ck = (8i + 4j + 6 k) + 1(6i + 9j+ 6k)O (x, y, z) = (8, – 4, 6) + 1(6, 9, – 6)ai + bj + ck = (8i – 4j + 6k) + 1(6i + 9j – 6k)O (x, y, z) = (- 8, 4, – 6) + 1( – 6, – 9, 6)ai + bj + ck = (- 8i + 4j – 6k) + 1( – 6i – 9j + 6k)O (x, y, z) = (6, 9, – 6) + 1(8, – 4, 6)ai + bj + ck = (6i + 9j – 6k) + t(8i – 4j + 6k)

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Answered: Express the given parametric equations…

Express the given parametric equations of a line using bracket notation and also using i, j. k notation. (a) x = 34, y =-7+71

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 21E

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Question

Express the given parametricequations of a line using bracket notation and also using i, j. k notation.
(a) x = 31, y = -7+7t
O (r, y) = (0, 3) + { – 7,7)
ai + bj = -7j + 1(3i + 7j)
O (x, y) = (- 7, 0) + 1(7, 3)
ai + bj = -7i + 1(7i + 3j)
O (r, y) = (3, 7) + 1(0, – 7)
ai + bj = (3i + 7j) + 1( – 7j)
O (x, y) = (0, 7) + 1(3, 7)
ai + bj = 7j+ 1(3i + 7j)
O (x, y) = (0, – 7) + 1(3, 7)
ai + bj = -7j+ (3i + 7j)
(b) x = 8 + 61,y = - 4+ 91, z = 6 - 61
O (r, y, z) = (- 6, – 9, 6) + 1( – 8, 4, – 6)
ai + bj + ck = (- 6i – 9j + 6k) + 1( - 8i + 4j – 6k)
O (r, y, z) = (8, 4, 6) + 1(6, 9, 6)
ai+ bj + ck = (8i + 4j + 6 k) + 1(6i + 9j+ 6k)
O (x, y, z) = (8, – 4, 6) + 1(6, 9, – 6)
ai + bj + ck = (8i – 4j + 6k) + 1(6i + 9j – 6k)
O (x, y, z) = (- 8, 4, – 6) + 1( – 6, – 9, 6)
ai + bj + ck = (- 8i + 4j – 6k) + 1( – 6i – 9j + 6k)
O (x, y, z) = (6, 9, – 6) + 1(8, – 4, 6)
ai + bj + ck = (6i + 9j – 6k) + t(8i – 4j + 6k)

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