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Let vec a,vec b, vec c and are unit vec...

Let `vec a,vec b, vec c` and are unit vectors inclined to each otherat an angle of `(2pi)/3` .If `hatp,hat q and hatr` are unit vectors alongthe angle bisectors of `veca and vec b,vec b and vecc and vec a` are spectively, then `[hatp hat q hat r]` is equal to

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