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Find a vector vec( c) such that |vec(c )...

Find a vector `vec( c)` such that `|vec(c )| = sqrt6 and vec(c ).vec(a)= 0= vec(c ).vec(b)` where `vec(a) = 2vec(i) -vec(k), vec(b)= 3vec(j)- vec(i)-vec(k)`.

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The correct Answer is:
`+- (vec(i) + vec(j) + 2vec(k))`
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