Q3 of 26 Page 1

If P(2, 3, 4) is the foot of perpendicular from origin to a plane, then write the vector equation of this plane.

Given: P(2, 3, 4) is the foot of perpendicular from origin to a plane


To find: Vector equation of the plane


Since, the normal vector of the plane,



The distance of the plane from the point,





Now, the unit normal vector,




Since, the vector equation of a plane is,






where


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