Q7 of 181 Page 1181

Find the Cartesian equation of the plane whose vector equation is

Given :


Vector equation of the plane is



To Find : Cartesian equation of the given plane.


Formulae :


1) Dot Product :


If are two vectors




then,



Given the equation of the plane is



Here,




= (x × 3) + (y × 5) + (z × (-9))


= 3x + 5y – 9z


Therefore equation of the plane is


3x + 5y – 9z = 8


This is the Cartesian equation of the given plane.


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