(a).x = 61, y = - 4 + 7t O (r, y) = (0,4) + «(6, 7) ai + bj = 4j + 1(6i + 7j) O (1, y) = (6, 7) + 1(0, – 4) ai + bj = (6i + 7j) + ( – 4j) O (x, y) = (0, – 4) + t(6, 7) ai + bj = -4j + 1(6i + 7j) O (r, y) = (0, 6) + t( – 4, 7) ai + bj = -4j + r(6i + 7j) O (1, y) = ( – 4,0) + «(7, 6) ai + bj = -4i + 1(7i + 6j) (b) x = 8 + 74y = - 6 + I11,2 = 7 – 71 O (1, y, z) = ( – 8, 6, – 7) + 1( – 7, – II,7) ai + bj + ck = (– 8i + 6j – 7k) + 1( – 7i –- Ilj+7k) O (1, y. z) = ( – 7, – 11, 7) + 1( – 8, 6, – 7) ai + bj + ck = ( – 7i – 1lj + 7k) + 1( – si + 6j – 7 k) O (1, y. z) = (8, 6, 7) + 1(7, 11, 7) ai + bj + ck = (si + 6j + 7k) + «(7i + 1 lj + 7k) O (x, y. z) = (8, – 6, 7) + t(7, 11, – 7) ai + bj + ck = (8i – 6j + 7 k) + «(7i + 1lj - 7k) O (1, y. z) = (7, 11, – 7) + t(8, – 6, 7) ai + bj + ck = (7i + 1lj – 7k) + 1(8i – 6j+7k)
(a).x = 61, y = - 4 + 7t O (r, y) = (0,4) + «(6, 7) ai + bj = 4j + 1(6i + 7j) O (1, y) = (6, 7) + 1(0, – 4) ai + bj = (6i + 7j) + ( – 4j) O (x, y) = (0, – 4) + t(6, 7) ai + bj = -4j + 1(6i + 7j) O (r, y) = (0, 6) + t( – 4, 7) ai + bj = -4j + r(6i + 7j) O (1, y) = ( – 4,0) + «(7, 6) ai + bj = -4i + 1(7i + 6j) (b) x = 8 + 74y = - 6 + I11,2 = 7 – 71 O (1, y, z) = ( – 8, 6, – 7) + 1( – 7, – II,7) ai + bj + ck = (– 8i + 6j – 7k) + 1( – 7i –- Ilj+7k) O (1, y. z) = ( – 7, – 11, 7) + 1( – 8, 6, – 7) ai + bj + ck = ( – 7i – 1lj + 7k) + 1( – si + 6j – 7 k) O (1, y. z) = (8, 6, 7) + 1(7, 11, 7) ai + bj + ck = (si + 6j + 7k) + «(7i + 1 lj + 7k) O (x, y. z) = (8, – 6, 7) + t(7, 11, – 7) ai + bj + ck = (8i – 6j + 7 k) + «(7i + 1lj - 7k) O (1, y. z) = (7, 11, – 7) + t(8, – 6, 7) ai + bj + ck = (7i + 1lj – 7k) + 1(8i – 6j+7k)
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 48PS
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