If a^{\rightarrow} = i^{^} + j^{^} + k^{^}, b^{\rightarrow} = 2i^{^}−j^{^} + 3k^{^} and c^{\rightarrow} = i^{^}−2j^{^} + k^{^}, and a unit vector parallel to the vector 2a^{\rightarrow}−b^{\rightarrow} + 3c^{\rightarrow} ?

Correct Answer is : 322i−322j+222k

{9}/{\sqrt{22}}i^{^}− {3}/{\sqrt{22}}j^{^} + {1}/{\sqrt{22}}k^{^}

{2}/{\sqrt{22}}i^{^}− {3}/{\sqrt{22}}j^{^} + {2}/{\sqrt{22}}k^{^}

{3}/{\sqrt{22}}i^{^}− {3}/{\sqrt{22}}j^{^} + {3}/{\sqrt{22}}k^{^}

{3}/{\sqrt{22}}i^{^}− {3}/{\sqrt{22}}j^{^} + {2}/{\sqrt{22}}k^{^}

AAI ATC Junior Executive 25 Mar 2021 Shift 3 Paper

Question : 78 of 120

Marks: +1, -0

a↖{⟶} = i↖{^} + j↖{^} + k↖{^}

b↖{⟶} = 2i↖{^}−j↖{^} + 3k↖{^}

and

c↖{⟶} = i↖{^}−2j↖{^} + k↖{^}

, and a unit vector parallel to the vector

2a↖{⟶}−b↖{⟶} + 3c↖{⟶}

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