Q. 33.8( 4 Votes )

Find the vector e

Answer :


The required plane passes through the point A(a,0,0) whose position vector is and is normal to the vector given by



Clearly,





The vector equation of the required plane is,



or,


or,


or, …… (i)


Now,


For reducing (i) to normal form, we need to divide both sides of (i) by


Then, we get,


, which is the normal form of plane (i)


So, the distance of the plane (i) from the origin is,







Hence, Proved.


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