Q. 4 A3.7( 45 Votes )

In the following cases, find the coordinates of the foot of the perpendicular drawn from the origin.

2x + 3y + 4z – 12 = 0

Answer :

Let the coordinate of the foot of P from the origin to the given plane be P(x,y,z).

2x + 3y + 4z = 12

Direction ratio (2,3,4)

This is the form of

lx + my + nz = d ( d = Distance of the normal from the origin.)

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