Q. 105.0( 1 Vote )

Write the distanc

Answer :

The plane is given as, .


We can write the equation of the plane in general form as,


2x - y + 2z - 12=0 …………… (1)



Now, to get the normal form of a plane given in general form as, Ax + By + Cz + D=0 where …… (2), we have to divide the equation (1) by , where is the normal vector given as,


Now,






Comparing equation (1) with equation (2), we get, D= - 12


So, the distance between the plane and the origin (using formula)





p=4


The distance between the plane and the origin is 4 units.


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