The intersection of two planes *P*_{1} and *P*_{2} is the locus of all the common points on both the planes *P*_{1} and *P*_{2}. This locus is a straight line. Any given line can be uniquely determined by any of the two planes containing the line. Thus, a line can be regarded as the locus of the common points of two intersecting planes.

Let us consider the two planes

Any set of coordinates (*x, y, z*) which satisfy these two equations simultaneously will represent a point on the line of intersection of these two planes. Hence these two equations taken together will represent a straight line. It can be noted that the equation ...

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