First slide

Planes in 3D

Question

The set of points satisfying ax + by + cz = 0 when $a^{2} + b^{2} + c^{2} = 0$ is the

Easy

A

XY - co ordinate plane
B

YZ- coordinate plane
C

X – axis
D

Every point of the space

Solution

$a^{2} + b^{2} + c^{2} = 0 \Rightarrow a = 0, b = 0, c = 0$
For any (x,y,z), o.x + 0. y + 0.z = 0

Required set of points is whole space

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