AP EAMCET201822 Apr 2018Evening ShiftMathematicsVector AlgebraActual

If , and are non-zero vectors such that | |=| |=1 and | |=10 , then ( ( + ) ( ) ( - )=

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Correct answer

C. 0

Step-by-step solution

aligned & ( ( + )) ( ) ( - ) = & ( ( + )) [( ) ( - )] = & ( ( + )) [( ( - ) -( ( - ) ] = & ( ( + )) [ ( . |^2- ) - ( -| |^2 ) ] = & ( ( + )) [(1- )]( + ] = & (1- )[ ) +( ) ] & (1- )[( ) -( ) ]=0 aligned

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