Reduce the equation to normal form and hence find the length of perpendicular from the origin to the plane.

The given equation of the plane is


or , where



For reducing the given equation to normal form, we need to divide it by .


Then, we get,





Dividing both sides by – 1, we get


……(i)


The equation of a plane in normal form is


……(ii)


Where d is the distance of the plane from the origin


Comparing (i) and (ii)


Length of the perpendicular from the origin to the plane = d = 2 units.


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