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Let |vec a|=2,|vec b|=1 and veca perpend...

Let `|vec a|=2,|vec b|=1` and `veca` perpendicular `vecb` .If `vecc` is a unit vector inclined at an angle `60^o` to both `veca` and `vecb` such that `vecc` =`xveca+yvec b+z(veca xx vecb)` ,then which of the following is/are true`

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