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A vector of magnitude sqrt2 coplanar wit...

A vector of magnitude `sqrt2` coplanar with the vectors `veca=hati+hatj+2hatk and vecb = hati + hatj + hatk,` and perpendicular to the vector `vecc = hati + hatj +hatk` is

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A vector of magnitude sqrt2 coplanar with the vectors veca=hati+hatj+2hatk and vecb = hati + 2hatj + hatk, and perpendicular to the vector vecc = hati + hatj +hatk is

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