Q2 of 230 Page 29

Find the vector equation of the plane passing through the points P(2, 5, – 3), Q(– 2, – 3, 5) and R(5, 3, – 3).


The required plane passes through the point P(2, 5, – 3) whose position vector is and is normal to the vector given by



Clearly,





The vector equation of the required plane is,



or,


or,


or,


or,


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