Q1 of 230 Page 29

Find the vector equation of a plane which is at a distance of 3 units from the origin and has as the unit vector normal to it.

Given: Normal vector, = i

Now,


The equation of a plane in normal form is = d (where d is the distance of the plane from the origin)


Substituting n = k and d = 3 in the relation, we get


. = 3


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