Let a, b, and c be three real numbers satisfying [a b c] [[ 1 9 7; 8 2 7; 7 3 7 ]]=[[ 0 0 0 ]] (I...

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Let a, b, and c be three real numbers satisfying [a b c]
[[ 1 9 7; 8 2 7; 7 3 7 ]]=[[ 0 0 0 ]]
(IIT-JEE 2011)
If the point P(a, b, c) with reference to (E) lies on the plane 2 x+y+z=1, then the value of 7 a+b+c is
(1) 0
(2) 12
(3) 7

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