The direction ratios of the line perpendicular to the lines with direction ratios < 1, $$-$$2, $$-$$2 > and < 0, 2, 1 > are

What are the coordinates of the foot of the perpendicular drawn from the point (3, 5, 4) on the plane z = 0 ?

The lengths of the intercepts on the coordinate axes made by the plane 5x + 2y + z $$-$$ 13 = 0 are

Let Q be the image of the point P($$-$$2, 1, $$-$$5) in the plane 3x $$-$$ 2y + 2z + 1 = 0.

Consider the following statements.

I. The coordinates of Q are (4, $$-$$3, $$-$$1).

II. PQ is the length more than 8 units.

III. The point (1, $$-$$1, $$-$$3) is the mid-point of the line segment PQ and lies on the given plane.

which of the above statements are correct?