Suppose the floor of a hotel is made up of mirror polished Salvatore stone. There is a large crystal chandelier attached to the ceiling of the hotel room. Consider the floor of the hotel room as a plane having the equation x – y + z = 4 and the crystal chandelier is suspended at the point (1, 0, 1).Based on the above answer the following:1. Find the direction ratios of the perpendicular from the point (1, 0, 1) to the plane x – y + z = 4.a. (-1, -1, 1)b. (1, -1, -1)c. (-1, -1, -1)d. (1, -1, 1)2. Find the length of the perpendicular from the point (1, 0, 1) to the plane x – y + z = 4.a. \(\cfrac2{\sqrt3}\) unitsb. \(\cfrac4{\sqrt3}\) unitsc. \(\cfrac6{\sqrt3}\) unitsd. \(\cfrac8{\sqrt3}\)units3. The equation of the perpendicular from the point (1, 0, 1) to the plane x – y + z = 4 is4. The equation of the plane parallel to the plane x – y + z = 4, which is at a unit distance from the point (1, 0, 1) isa. x – y + z + (2 - √3 )b. x – y + z - (2 + √3 )c. x – y + z + (2 + √3 )d. Both (a) and (c)5. The direction cosine of the normal to the plane x – y + z = 4 is