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If the vectors (sec^(2)A)hati+hatj+hatk,...

If the vectors `(sec^(2)A)hati+hatj+hatk, hati+(sec^(2)B)hatj+hatk,hati+hatj+(sec^(2) c)hatk` are coplanar, then the value of `cosec^(2)A+cosec^(2)B+cosec^(2)C`, is

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