Q .     If `A_1 , A_2 , .... A_n` are the vertices of a regular plane polygon with `n` sides and `O` is its centre. Then, show that
` sum_( i = 1)^(n -1) ( vec (OA_i) xx vec (OA_(i +1))) = ( 1 - n) ( vec (OA_2) xx vec (OA_1) )`



JEE 1982
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