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(b) x = 5 + 4t.y = -2+5t, z = 6 – 61 O (x, y. z) = (4, 5, – 6) + 1(5, – 2, 6) ai + bj + ck = (4i + 5j – 6k) + t(5i – 2j + 6 k) O (x, y. z) = ( – 5, 2, – 6) + t( – 4, – 5, 6) ai + bj + ck = (– 5i + 2j – 6k) + 1( – 4i – 5j + 6k) O (x, y, z) = (5, 2, 6) + 1(4, 5, 6) ai + bj + ck = (5i + 2j + 6k) + t(4i + 5j + 6k) O (x, y. z) = ( – 4, – 5, 6) + 1( – 5, 2, – 6) ai + bj + ck = ( –- 4i – 5j + 6k) + t(– 5i + 2j – 6k) O (x, y. z) = (5, - 2, 6) + t(4, 5, – 6) ai + bj + ck = (5i – 2j + 6 k) + 1(4i + 5j – 6k)

(b) x = 5 + 4t.y = -2+5t, z = 6 – 61 O (x, y. z) = (4, 5, – 6) + 1(5, – 2, 6) ai + bj + ck = (4i + 5j – 6k) + t(5i – 2j + 6 k) O (x, y. z) = ( – 5, 2, – 6) + t( – 4, – 5, 6) ai + bj + ck = (– 5i + 2j – 6k) + 1( – 4i – 5j + 6k) O (x, y, z) = (5, 2, 6) + 1(4, 5, 6) ai + bj + ck = (5i + 2j + 6k) + t(4i + 5j + 6k) O (x, y. z) = ( – 4, – 5, 6) + 1( – 5, 2, – 6) ai + bj + ck = ( –- 4i – 5j + 6k) + t(– 5i + 2j – 6k) O (x, y. z) = (5, - 2, 6) + t(4, 5, – 6) ai + bj + ck = (5i – 2j + 6 k) + 1(4i + 5j – 6k)

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 12T
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Question
Express the given parametric equations of a line using bracket notation and also using i, j. k notation.
Transcribed Image Text:Express the given parametric equations of a line using bracket notation and also using i, j. k notation.
(b) x = 5+ 4t.y = - 2+ 5t, z = 6 – 61 O (x. y, z) = (4, 5, – 6) + 1(5, – 2, 6) ai + bj + ck = (4i + 5j – 6k) + t(5i - 2j + 6 k) O (x, y, z) = (- 5, 2, – 6) + 1( – 4, – 5, 6) ai + bj + ck = (– 5i + 2j – 6k) + 1( – 4i – 5j + 6k) O (x, y, z) = (5, 2, 6) + 1(4, 5, 6) ai + bj + ck = (5i + 2j + 6 k) + 1(4i+ 5j+ 6k) O (x, y, z) = (- 4, – 5, 6) + 1( – 5, 2, – 6) ai + bj + ck = ( - 4i – 5j + 6k) + t(- 5i + 2j – 6 k) O (x, y, z) = (5, - 2, 6) + 1(4, 5, – 6) ai + bj + ck = (5i – 2j + 6 k) + 1(4i + 5j – 6k)
Transcribed Image Text:(b) x = 5+ 4t.y = - 2+ 5t, z = 6 – 61 O (x. y, z) = (4, 5, – 6) + 1(5, – 2, 6) ai + bj + ck = (4i + 5j – 6k) + t(5i - 2j + 6 k) O (x, y, z) = (- 5, 2, – 6) + 1( – 4, – 5, 6) ai + bj + ck = (– 5i + 2j – 6k) + 1( – 4i – 5j + 6k) O (x, y, z) = (5, 2, 6) + 1(4, 5, 6) ai + bj + ck = (5i + 2j + 6 k) + 1(4i+ 5j+ 6k) O (x, y, z) = (- 4, – 5, 6) + 1( – 5, 2, – 6) ai + bj + ck = ( - 4i – 5j + 6k) + t(- 5i + 2j – 6 k) O (x, y, z) = (5, - 2, 6) + 1(4, 5, – 6) ai + bj + ck = (5i – 2j + 6 k) + 1(4i + 5j – 6k)
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