A plane P passes through the line of intersection of the planes 2x $$-$$ y + 3z = 2, x + y $$-$$ z = 1 and the point (1, 0, 1).

What are the direction ratios of the line of intersection of the given planes?

A plane P passes through the line of intersection of the planes 2x $$-$$ y + 3z = 2, x + y $$-$$ z = 1 and the point (1, 0, 1).

What is the equation of the plane P?

If the plane P touches the sphere $${x^2} + {y^2} + {z^2} = {r^2}$$, then what is r equal to?

The length of the normal from origin to the plane x + 2y $$-$$ 2z = 9 is equal to