Express the given parametric equations of a line using bracket notation and also using i, j, k notation. (a) x = 61, y = - 4+7t O(x, y) = (0, 6) + 1(-4, 7) ai + bj = -4j+1 (6i + 7j) O(x, y) = (6, 7) +1(0, - 4) ai + bj = (6i + 7j) + 1(-4j) O(x, y) = (-4,0) +1 (7,6) ai + bj = -4i +1 (7i+ 6j) O(x, y) = (0, 4) + 1 (6, 7) ai + bj = 4j+1 (6i + 7j) O (x, y) = (0, - 4) + 1(6,7) ai + bj = -4j+1 (6i + 7j)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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Express the given parametric equations of a line using bracket notation and also using i, j, k notation.
(a) x = 61, y = −4+7t
O(x, y) = (0, 6) + 1 ( − 4, 7)
ai + bj = -4j+ 1 (6i + 7j)
O(x, y) = (6, 7) + 1(0, − 4)
ai + bj = (6i + 7j) + ¹(-4j)
O(x, y) = (-4,0) +1 (7,6)
ai + bj = -4i +1 (7i + 6j)
O(x, y) = (0, 4) + 1 (6, 7)
ai + bj = 4j+1 (6i + 7j)
O (x, y) = (0, - 4)+1(6, 7)
ai + bj = -4j+1 (6i + 7j)
Transcribed Image Text:Express the given parametric equations of a line using bracket notation and also using i, j, k notation. (a) x = 61, y = −4+7t O(x, y) = (0, 6) + 1 ( − 4, 7) ai + bj = -4j+ 1 (6i + 7j) O(x, y) = (6, 7) + 1(0, − 4) ai + bj = (6i + 7j) + ¹(-4j) O(x, y) = (-4,0) +1 (7,6) ai + bj = -4i +1 (7i + 6j) O(x, y) = (0, 4) + 1 (6, 7) ai + bj = 4j+1 (6i + 7j) O (x, y) = (0, - 4)+1(6, 7) ai + bj = -4j+1 (6i + 7j)
(b) x = 5+7ty = -2+ 101, z = 8 - 61
0 (x, y, z) = (-7, -10, 6) + 1(-5,2, - 8)
ai + bj+ck = ( − 7i - 10j + 6k) + (-5i +2j - 8k)
0 (x, y, z) = (-5,2, 8) +1(-7, - 10,6)
ai + bj+ck = (-5i +2j-8k) +
(-7i - 10j + 6k)
O(x, y, z) = (7, 10, 6) +1 (5, - 2,8)
ai + bj + ck = (7i+ 10j - 6k) + (5i - 2j+8k)
O(x, y, z) = (5, 2, 8) + (7, 10, 6)
ai + bj+ck = (5i +2j + 8k) +1(7i+ 10j + 6k)
O (x, y, z) = (5,
-2, 8) +1 (7, 10, - 6)
ai + bj + ck = (5i - 2j+8k) +1(7i+ 10j – 6k)
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Transcribed Image Text:(b) x = 5+7ty = -2+ 101, z = 8 - 61 0 (x, y, z) = (-7, -10, 6) + 1(-5,2, - 8) ai + bj+ck = ( − 7i - 10j + 6k) + (-5i +2j - 8k) 0 (x, y, z) = (-5,2, 8) +1(-7, - 10,6) ai + bj+ck = (-5i +2j-8k) + (-7i - 10j + 6k) O(x, y, z) = (7, 10, 6) +1 (5, - 2,8) ai + bj + ck = (7i+ 10j - 6k) + (5i - 2j+8k) O(x, y, z) = (5, 2, 8) + (7, 10, 6) ai + bj+ck = (5i +2j + 8k) +1(7i+ 10j + 6k) O (x, y, z) = (5, -2, 8) +1 (7, 10, - 6) ai + bj + ck = (5i - 2j+8k) +1(7i+ 10j – 6k) -
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