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If $A_{α} = [\begin{array}{l} \cos α \sin α \\ - \sin α \cos α \end{array}]$ then that $A_{α} . A_{β} =$

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detailed solution

Correct option is C

we have,Aα.Aβ= cosα sinα−sinα cosα cosβ sinβ−sinβ cosβ= cosαcosβ−sinαsinβ sinαcosβ+cosαsinβ−sinαcosβ−cosαsinβ cosαcosβ−sinαsinβ= cos(α+β) sin(α+β) −sin(α+β) cos(α+β)=Aα+β

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If Aα= cosα sinα−sinα cosα then thatAα.Aβ=

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Ready to Test Your Skills?

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If $A_{α} = [\begin{array}{l} \cos α \sin α \\ - \sin α \cos α \end{array}]$ then that $A_{α} . A_{β} =$