If three vectors `(sec^(2)A) hati+hatj+hatk`, `hati+(sec^(2)B)hatj+

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