First slide

Planes in 3D

Question

If the foot of perpendicular from (0, 0, 0) to a plane is (1, 2, 2) then the equation of the plane is

Moderate

A

$- x + 2 y + 8 z - 9 = 0$
B

$x + 2 y + 2 z - 9 = 0$
C

$x + y + z - 5 = 0$
D

$x + 2 y = 3 z + 1 = 0$

Solution

D.r’s of the perpendicular to the plane are (1,2,2)
equation of plane is1(x-1)+2(y-2)+2(x-2)=0

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