( 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