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 The equation of a plane through a point whose position vector is a and

perpendicular to the vector is ( .

 Equation of a plane perpendicular to a given line with direction ratios
A, B, C and passing through a given ( x 1 y 1,z 1) point is

 Equation of a plane passing through three non collinear points
,

 Vector equation of a plane that contains three non collinear points
having position vectors ( , ( & ( =0 is

= ( =0.

 Equation of a plane that cuts the coordinates axes at
is (a,0,0) (0,b,0) & (0,0.c) is

.

 Vector equation of a plane that passes through the intersection of
planes . = d 1 & . is where is any non-zero constant

 Cartesian equation of a plane that passes that passes through the
intersection of two given planes A 1x +B 2y+ C 1z+D 1=0 & x A 2x+B 2y+ C 2z+D 2=0
is

 Two lines = +λand = +λ are coplanar in Cartesian form if

 In the vector form, if is the angle between the two planes, . = d 1
& . then cos =

 The angle between the planes

,
is given by