Q. 19
Write the equation of the plane passing through the point (a, b, c) and parallel to the plane 
Answer :
Given :
A ≡ (a, b, c)
Equation of plane parallel to required plane
To Find : Equation of plane
Formulae :
1) Position vectors :
If A is a point having co-ordinates (a1, a2, a3), then its position vector is given by,
2) Dot Product :
If 
are two vectors
then,
3) Equation of plane :
If a plane is passing through point A, then equation of plane is
Where, 
Answer :
For point A ≡ (a, b, c), position vector is
As plane 
is parallel to the required plane, the vector normal to required plane is
Now, 
= a + b + c
Equation of the plane passing through point A and perpendicular to vector 
is
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