B 10. Write a vector equation and parametric equations for a plane that satisfies each set of conditions. a) contains the point Po(2, -4, 6); has direction vectors à = [6, -7, 0] and b= [4, 1, 3] 6 contains the point Po(-5, 9, -3); is allel to the lines [x. v. z] =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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B
10. Write a vector equation and parametric
equations for a plane that satisfies each set
of conditions.
a) contains the point Po(2, -4, 6); has
direction vectors à = [6, -7, 0] and
b= [4, 1, 3]
6 contains the point Po(-5, 9, -3); is
parallel to the lines [x, y, z] =
[1, -2, 7] + s[4, -1, -3] and
[x, y, z]= [7, -2, 15] + t[1, 6, -8]
contains the points A(4, -2, 5),
B(3, -3, 1), and C(5, 2, 8)
has x-intercept 12, y-intercept -4,
and z-intercept 7
Transcribed Image Text:B 10. Write a vector equation and parametric equations for a plane that satisfies each set of conditions. a) contains the point Po(2, -4, 6); has direction vectors à = [6, -7, 0] and b= [4, 1, 3] 6 contains the point Po(-5, 9, -3); is parallel to the lines [x, y, z] = [1, -2, 7] + s[4, -1, -3] and [x, y, z]= [7, -2, 15] + t[1, 6, -8] contains the points A(4, -2, 5), B(3, -3, 1), and C(5, 2, 8) has x-intercept 12, y-intercept -4, and z-intercept 7
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