JEE Advance - Mathematics (1999 - No. 10)
Let $$a=2i+j+k, b=i+2j-k$$ and a unit vector $$c$$ be coplanar. If $$c$$ is perpendicular to $$a,$$ then $$c =$$
$${1 \over {\sqrt 2 }}\left( { - j + k} \right)$$
$${1 \over {\sqrt 3 }}\left( {- i - j - k} \right)$$
$${1 \over {\sqrt 5 }}\left( {i - 2j} \right)$$
$${1 \over {\sqrt 3 }}\left( {i - j - k} \right)$$
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