6 Lines Planes 10.5:

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 25EQ
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6 Lines Planes 10.5:
Problem 9
Consider the line L(t) = (-3 – 2t, -2 – t, –2 – 2t). Then:
O to the plane 4y – x + 5z = 16
?
is
L
perpendicular O to the plane
is
4x + 2y + 4z = 18
perpendicular O to the plane
is
5z – (3x + 4y) = 12
L neither
is
5x + 4y + 5z = 25
O to the plane
Transcribed Image Text:6 Lines Planes 10.5: Problem 9 Consider the line L(t) = (-3 – 2t, -2 – t, –2 – 2t). Then: O to the plane 4y – x + 5z = 16 ? is L perpendicular O to the plane is 4x + 2y + 4z = 18 perpendicular O to the plane is 5z – (3x + 4y) = 12 L neither is 5x + 4y + 5z = 25 O to the plane
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