Write a scalar equation of each plane. a) [x, y, z] = [2, -5, 4] + s[2, -3, −2] + t[7, -3, 5] b) [x, y, z] = [1, 6, 10] + s[-2, 1, 1] + t[0, 3, -5] c) [x, y, z] = [4, 1, −3] + s[5, 3, −3] + t[6,-4, 2]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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6.) Write a scalar equation of each plane.
a) [x, y, z] = [2, −5, 4] + s[2, -3, −2] +
t[7, -3, 5]
b) [x, y, z] = [1, 6, 10] + s[-2, 1, 1] +
t[0, 3, -5]
c) [x, y, z] = [4, 1, −3] + s[5, 3, −3] +
t[6,-4, 2]
d) [x, y, z] = [8, 6, -1] + s[-7, 2, 5] +
t[1, 0, 3]
e) [x, y, z] = [10, −2, 3] + s[1, 1, −1] +
t[-5, 2, 5]
f) [x, y, z] = [0, 2, 3] + s[4, -3, 1] +
t[-2, 3, 7]
Transcribed Image Text:6.) Write a scalar equation of each plane. a) [x, y, z] = [2, −5, 4] + s[2, -3, −2] + t[7, -3, 5] b) [x, y, z] = [1, 6, 10] + s[-2, 1, 1] + t[0, 3, -5] c) [x, y, z] = [4, 1, −3] + s[5, 3, −3] + t[6,-4, 2] d) [x, y, z] = [8, 6, -1] + s[-7, 2, 5] + t[1, 0, 3] e) [x, y, z] = [10, −2, 3] + s[1, 1, −1] + t[-5, 2, 5] f) [x, y, z] = [0, 2, 3] + s[4, -3, 1] + t[-2, 3, 7]
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