Determine {| a^{\rightarrow} |}and{| b^{\rightarrow} |},if(a^{\rightarrow} + b^{\rightarrow}).(a^{\rightarrow}−b^{\rightarrow}) = 8\text{ }and{| a^{\rightarrow} |} = 8{| b^{\rightarrow} |}?

{16\sqrt{2}}/{3\sqrt{7}}, {2\sqrt{2}}/{3\sqrt{7}}

{8\sqrt{2}}/{3\sqrt{7}}, {2\sqrt{2}}/{3\sqrt{7}}

{16\sqrt{6}}/{3\sqrt{7}}, {2\sqrt{2}}/{3\sqrt{7}}

{8\sqrt{3}}/{3\sqrt{7}}, {2\sqrt{3}}/{3\sqrt{7}}

AAI ATC Junior Executive 25 Mar 2021 Shift 1 Paper

Question : 64 of 120

Marks: +1, -0

Determine

{| a↖{⟶} |}and{| b↖{⟶} |},if(a↖{⟶} + b↖{⟶}).(a↖{⟶}−b↖{⟶}) = 8\;\text " "\;and{| a↖{⟶} |} = 8{| b↖{⟶} |}

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