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2. If the vector \( a =3 \hat{ j }+4 \hat{ k } \) is the sum of two vectors \( a _{1} \) and \( a _{2} \), vector \( a _{1} \) is parallel to \( b =\hat{ i }+\hat{ j } \) and vector \( a _{2} \) is perpendicular to \( b \), [3 May 2019, Shift-1] then \( a _{1}= \)

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