Q. 15.0( 1 Vote )

Find the vector a

Answer :

Given :


d = 5



To Find : Equation of a plane


Formulae :


1) Dot Product :


If are two vectors




then,



2) Equation of plane :


Equation of plane which is at a distance of 5 units from the origin and having as a unit vector normal to it is



Where,


For given d = 5 and ,


Equation of plane is




This is a vector equation of the plane


Now,




= z



Therefore, the equation of the plane is


This is - the Cartesian z = 5 equation of the plane.


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