First slide

Planes in 3D

Question

Which point lies on the origin side of the plane 2x – 3y + 4z + 5 = 0

Easy

A

(-2,1,-7)
B

(-2,0,-3)
C

(0,3,-2)
D

(1,1,1)

Solution

(0,0,0),
$π = 2 x - 3 y + 4 z + 5 = 0$

by verification (1,1,1)

d. $π_{11} = 5 (2 - 3 + 4 + 5) > 0$

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