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Let P1:2x+y-z=3 and P2: x+2y+z=2 be two ...

Let `P_1:2x+y-z=3` and `P_2: x+2y+z=2` be two planes. Then, which of the following statement(s) is (are) TRUE? The line of intersection of `P_1` and `P_2` has direction ratios `1,\ 2,\ -1` (b) The line `(3x-4)/9=(1-3y)/9=z/3` is perpendicular to the line of intersection of `P_1` and `P_2` (c) The acute angle between `P_1` and `P_2` is `60o` (d) If `P_3` is the plane passing through the point `(4,\ 2,\ -2)` and perpendicular to the line of intersection of `P_1` and `P_2` , then the distance of the point `(2,\ 1,\ 1)` from the plane `P_3` is `2/(sqrt(3))`

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