Please prove this statement preciously and answer should be typed TWO SIDES OF A PLANELet ax + by + cz +d=0 be the plane. Then the points (x₁, y₁, 2₁) andax+by+cz₁ + d(x₂, 2, 2₂) lie on the same side or the opposite sides asa+by₂+cz₂+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.

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.

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter7: Locus And Concurrence

Section7.CT: Test

Problem 2CT

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Question

Please prove this statement preciously and answer should be typed

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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