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Express the given parametric equations of a line using bracket notation and also using i. j. k notation. (a) x = 5t, y = - 5+ 7t O (x, y) = (5,7) + t(0, – 5) ai+ bj = (5i + 7j) + 1( – 5j) O (x, y) = (0, 5) + t(5, 7) ai+ bj = 5j + t(5i + 7j) O (x, y) = (0, – 5) + t(5, 7) ai + bj = -5j + 1(5i + 7j) O (x, y) = (0, 5) + t( – 5, 7) ai+ bj = -5j + 1(5i + 7j) O (x, y) = (– 5, 0) + t(7, 5) ai + bj = - 5i + t(7i + 5j)

Express the given parametric equations of a line using bracket notation and also using i. j. k notation. (a) x = 5t, y = - 5+ 7t O (x, y) = (5,7) + t(0, – 5) ai+ bj = (5i + 7j) + 1( – 5j) O (x, y) = (0, 5) + t(5, 7) ai+ bj = 5j + t(5i + 7j) O (x, y) = (0, – 5) + t(5, 7) ai + bj = -5j + 1(5i + 7j) O (x, y) = (0, 5) + t( – 5, 7) ai+ bj = -5j + 1(5i + 7j) O (x, y) = (– 5, 0) + t(7, 5) ai + bj = - 5i + t(7i + 5j)

Algebra & Trigonometry with Analytic Geometry
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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8: Please help me answer the following

Express the given parametric equations of a line using bracket notation and also using i, j, k notation. (a) x = 5t, y = - 5+ 7t O (x, y) = (5, 7) + t(0, – 5) ai + bj = (5i + 7j) + 1( – 5j) O (x, y) = (0, 5) + t(5, 7) ai + bj = 5j + t(5i + 7j) O (x, y) = (0, – 5) + t(5, 7) ai+ bj = -5j + t(5i + 7j) O (x, y) = (0, 5) + t{ – 5, 7) ai + bj = - 5j + t(5i + 7j) O (x, y) = ( – 5, 0) + 1(7, 5) ai+ bj = - 5i + t(7i + 5j)
Transcribed Image Text:Express the given parametric equations of a line using bracket notation and also using i, j, k notation. (a) x = 5t, y = - 5+ 7t O (x, y) = (5, 7) + t(0, – 5) ai + bj = (5i + 7j) + 1( – 5j) O (x, y) = (0, 5) + t(5, 7) ai + bj = 5j + t(5i + 7j) O (x, y) = (0, – 5) + t(5, 7) ai+ bj = -5j + t(5i + 7j) O (x, y) = (0, 5) + t{ – 5, 7) ai + bj = - 5j + t(5i + 7j) O (x, y) = ( – 5, 0) + 1(7, 5) ai+ bj = - 5i + t(7i + 5j)
(b) x = 6 + 4t,y = - 3+ 6t, z = 7 – 6t O (x, y, z) = ( – 4, – 6, 6) + t( – 6, 3, – 7) ai+ bj + ck = ( – 4i – 6j + 6k) + t( – 6i + 3j – 7k) O (x, y, z) = (6, – 3, 7) + t(4, 6, – 6) ai + bj + ck = (6i – 3j + 7k) + t(4i + 6j – 6k) О (х, у, г) 3 (4, 6, — 6) + (6, — 3, 7) ai + bj + ck = (4i + 6j – 6k) + t(6i – 3j +7k) О (х, у, г) —D (6, 3, 7) + (4, 6, 6) ai + bj + ck = (6i + 3j + 7k) + t(4i + 6j + 6k) O (x, y, z) = ( – 6, 3, – 7) + t( – 4, – 6, 6) ai + bj + ck = (– 6i + 3j – 7 k) + 1( – 4i – 6j + 6k)
Transcribed Image Text:(b) x = 6 + 4t,y = - 3+ 6t, z = 7 – 6t O (x, y, z) = ( – 4, – 6, 6) + t( – 6, 3, – 7) ai+ bj + ck = ( – 4i – 6j + 6k) + t( – 6i + 3j – 7k) O (x, y, z) = (6, – 3, 7) + t(4, 6, – 6) ai + bj + ck = (6i – 3j + 7k) + t(4i + 6j – 6k) О (х, у, г) 3 (4, 6, — 6) + (6, — 3, 7) ai + bj + ck = (4i + 6j – 6k) + t(6i – 3j +7k) О (х, у, г) —D (6, 3, 7) + (4, 6, 6) ai + bj + ck = (6i + 3j + 7k) + t(4i + 6j + 6k) O (x, y, z) = ( – 6, 3, – 7) + t( – 4, – 6, 6) ai + bj + ck = (– 6i + 3j – 7 k) + 1( – 4i – 6j + 6k)
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