Q. 23

Find the length of perpendicular from the origin to the plane

Answer :

Given :


Equation of plane :


To Find : Length of perpendicular = d


Formulae :


1) Unit Vector :


Let be any vector


Then unit vector of is



Where,


2) Length of perpendicular :


The length of the perpendicular from the origin to the plane


is given by,



Answer :


Given equation of the plane is





Comparing above equation with



We get,


& p = 14


Therefore,





= 7


The length of the perpendicular from the origin to the given plane is





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