If a^{\rightarrow} = 2i^{^} + 2j^{^} + 3k^{^},b^{\rightarrow} = −i^{^} + 2j^{^} + k^{^}\text{ }andc^{\rightarrow} = 3i^{^} + j^{^} are such that a^{\rightarrow} + \gammab^{\rightarrow} is perpendicular to c^{\rightarrow}, then determine the value of γ?

AAI ATC Junior Executive 25 Mar 2021 Shift 1 Paper

Question : 89 of 120

Marks: +1, -0

a↖{⟶} = 2i↖{^} + 2j↖{^} + 3k↖{^},b↖{⟶} = −i↖{^} + 2j↖{^} + k↖{^}\;\text " "\;andc↖{⟶} = 3i↖{^} + j↖{^}

are such that

a↖{⟶} + γb↖{⟶}

is perpendicular to

c↖{⟶}

, then determine the value of γ?

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