Q4 of 230 Page 30

Find the distance between the planes and + 7 = 0.

Let be the position vector of any point P on the plane


:


⟹ eq(i)


We know, the distance of from the plane is given by:



Putting the values of and :


⟹


⟹


⟹


⟹


∴ the distance between the planes and is units.


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