We know the distance of a point (x0, y0, z0) from a plane Ax + By + Cz + D=0 …………… (1) is
On comparing, the equation of the given plane i.e.
2x - 3y + 6z + 21=0 with equation (1) we get,
A=2, B= - 3, C=6, D=21.
Again, we know that, the co - ordinates of the origin are
(0, 0, 0).
So, the length of the perpendicular drawn from the origin is
Hence, the length of the perpendicular drawn from the origin to the plane 2x–3y + 6z + 21=0 is = 3 units.
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