( ii ) The coordinates of foot of perpendicular N from the origin on the plane are ( 1p , mp , np ).
Intercept Form The intercept form of equation of plane represented in the form of x / a + y / b + z / c = 1 where , a , b and c are intercepts on X , Y and Z-axes , respectively .
For x intercept Put y = 0 , z = 0 in the equation of the plane and obtain the value of x . Similarly , we can determine for other intercepts .
Equation of Planes with Given Conditions
( i ) Equation of a plane passing through the point A ( x1 , y1 , z1 ) and parallel to two given lines with direction ratios
( ii ) Equation of a plane through two points A ( x1 , y1 , z1 ) and B ( x2 , y2 , z2 ) and parallel to a line with direction ratios a , b , c is
( iii ) The Equation of a plane passing through three points A ( x1 , y1 , z1 ), B ( x2 , y2 , z2 ) and C ( x3 , y3 , z3 ) is