Answer :
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
=3
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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