The equation of the plane passing through the line of intersection of the planes x + y + z = 1, 2x + 3y + 4z = 7, and perpendicular to the plane x $$-$$ 5y + 3z = 5 is given by

A straight line with direction cosines <0, 1, 0> is

(0, 0, 0), (a, 0, 0), (0, b, 0) and (0, 0, c) are four distinct points. What are the coordinates of the point which is equidistant from the four points?

The points P(3, 2, 4), Q(4, 5, 2), R(5, 8, 0) and S(2, $$-$$1, 6) are