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[" Let "bar(a)=hat i+hat j+sqrt(2)hat k,hat b=bhat i+bhat j+sqrt(2k)" and "],[vec c=5hat i+hat j+sqrt(2hat k)" be three vectors such that the "],[" projection vector of "(1)/(6)" on "(pi)/(2)" is "(1)/(2)" .If "(1)/(2)+6],[" perpendicular to "bar(c)" ,then "|" Dis equal to: "]

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