Answer :

False

Let O be the origin, and P be the foot of the perpendicular drawn from the origin to plane

Then, position vector OP will be [which is normal of plane]

Unit vector of n is

Also,

By distance formula, we have distance between two points

A(x_{1}, y_{1}, z_{1}) and B(x_{2}, y_{2}, z_{2}) is

= √38

Now, equation of plane with unit normal vector and having perpendicular distance from origin d is

Equation of given plane is,

Which is given, hence statement is true!

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