Question

Plane passing through the intersection of two given planes

Answer 1

Let two planes PQ and RS intersect each other at a line AB whose equations are \(\overrightarrow r.\overrightarrow n_1 = d_1 \ and \ \overrightarrow r.\overrightarrow n_2 = d_2\) respectively. The position vector of a point lie on intersecting line AB must satisfy both equations.