TWO SIDES OF A PLANE Let ax + by + cz+d=0 be the plane. Then the points (x₁, 7₁, Z₁) and ax+by+cz₁+d (x2, 2, 2₂) lie on the same side or the opposite sides as a+by+z₂+d 0 or <0, respectively.
TWO SIDES OF A PLANE Let ax + by + cz+d=0 be the plane. Then the points (x₁, 7₁, Z₁) and ax+by+cz₁+d (x2, 2, 2₂) lie on the same side or the opposite sides as a+by+z₂+d 0 or <0, respectively.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please prove this statement preciously and answer should be typed
Transcribed Image Text:TWO SIDES OF A PLANE
Let ax + by + cz +d=0 be the plane. Then the points (x₁, y₁, 2₁) and
ax+by+cz₁ + d
(x₂, 2, 2₂) lie on the same side or the opposite sides as
a+by₂+cz₂+d
>0 or <0, respectively.
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