Determine a unit vector perpendicular to each of the vector a^{\rightarrow} + b^{\rightarrow} and a^{\rightarrow}−b^{\rightarrow}, where a^{\rightarrow} = 3ı^{^} + 2ȷ^{^} + 2k^{^} and b^{\rightarrow} = ı^{^} + 2ȷ^{^}−2k^{^}?

Correct Answer is : ±2ı−2ȷ−k3

\pm {2ı^{^}−2ȷ^{^}−k^{^}}/{3}

\pm {2ı^{^}−2ȷ^{^}−k^{^}}/{9}

\pm {2ı^{^}−ȷ^{^}−2k^{^}}/{3}

\pm {2ı^{^}−ȷ^{^}−k^{^}}/{9}

AAI ATC Junior Executive 25 Mar 2021 Shift 2 Paper

Question : 66 of 120

Marks: +1, -0

Determine a unit vector perpendicular to each of the vector

a↖{⟶} + b↖{⟶}

and

a↖{⟶}−b↖{⟶}

, where

a↖{⟶} = 3ı↖{^} + 2ȷ↖{^} + 2k↖{^}

and

b↖{⟶} = ı↖{^} + 2ȷ↖{^}−2k↖{^}

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