First slide

Planes in 3D

Question

If the points (1,-1,1) and (-2,0,5) with respect to the plane $2 x + 3 y - z + 7 = 0$ lie on

Moderate

A

opposite sides
B

same side
C

on the plane
D

in side the plane

Solution

$Π_{111} =$ $2 (1) + 3 (- 1) - 1 + 7 > 0$
$Π_{222}$ = $2 (- 2) + 3 (0) - 5 + 7 < 0$
$∴$ Points lies on opposite sides of the plane

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