For the following value of x,y and z , find the product (x X y) x z and x X (y X z) and observe the results (x X y) X z = x X (y X z).x = -4/7, y = -3/8 , z = 16/5

For the following value of x,y and z , find the product (x X y) x z an

1.	For the following value of x,y and z , find the product (x X y) x z and x X (y X z) and observe the results (x X y) X z = x X (y X z).x = -4/7, y = -3/8 , z = 16/5
Answer» Hi , It is given that , X = -4/7 , y = -3/8 , z = 16/5 i ) x × ( y × z ) = ( -4/7 ) × [ ( - 3/8 ) × ( 16/5 ) ] = ( -4/7 ) × ( -6/5 ) = 24/35 -------( 1 ) ii ) ( x × y ) × z = [ ( - 4/7 ) × ( -3/8 ) ] × ( 16/5 ) = ( 12/56 ) × ( 16/5 ) = ( 12 × 16 )/( 56 × 5 ) = 24/35----( 2 ) From ( 1 ) and ( 2 ) , we CONCLUDE that, x × ( y × z ) = ( x × y ) × z [ Associative proporty under multiplication ] I hope this HELPS you. : )