Q14 of 33 Page 11

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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