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A vector of magnitude sqrt(2) coplanar ...

A vector of magnitude `sqrt(2)` coplanar with the vecrtor ` vec a= hat i+ hat j+2 hat ka n d vec b= hat i+2 hat j+ hat k ,` and perpendicular to the vector ` vec c= hat i+ hat j+ hat k ,` is a.`- hat j+ hat k` b. ` hat i- hat k` c. ` hat i- hat j` d. ` hat i- hat j`

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A vector of magnitude sqrt(2) coplanar with the vecrtor vec a=hat i+hat j+2hat kandvec b=hat i+2hat j+hat k, and perpendicular to the vector vec c=hat i+hat j+hat k is a.-hat j+hat k b.hat i-hat k c.hat i-hat j d.hat i-hat j

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