а ( 1 ; 2 ; - 1 )
b ( - 1 ; 1 ; 2 )
2a = ( 2 × 1 ; 2 × 2 ; 2 × ( -1) ) = ( 2 ; 4 ; - 2 )
3b = ( 3 × ( - 1 ); 3 × 1 ; 3 × 2 ) = ( - 3 ; 3 ; 6 )
2a + 3b = ( 2 - 3 ; 4 + 3 ; - 2 + 6 ) = ( - 1 ; 7 ; 4 )
- b ( 1 ; - 1 ; - 2 )
a - b = ( 1 + 1 ; 2 - 1 ; - 1 - 2 ) = ( 2 ; 1 ; - 3 )
(2a + 3b)(a - b) = - 1 × 2 + 7 × 1 + 4 × (-3) = - 2 + 7 - 12 = 7 - 14 = - 7
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а ( 1 ; 2 ; - 1 )
b ( - 1 ; 1 ; 2 )
2a = ( 2 × 1 ; 2 × 2 ; 2 × ( -1) ) = ( 2 ; 4 ; - 2 )
3b = ( 3 × ( - 1 ); 3 × 1 ; 3 × 2 ) = ( - 3 ; 3 ; 6 )
2a + 3b = ( 2 - 3 ; 4 + 3 ; - 2 + 6 ) = ( - 1 ; 7 ; 4 )
- b ( 1 ; - 1 ; - 2 )
a - b = ( 1 + 1 ; 2 - 1 ; - 1 - 2 ) = ( 2 ; 1 ; - 3 )
(2a + 3b)(a - b) = - 1 × 2 + 7 × 1 + 4 × (-3) = - 2 + 7 - 12 = 7 - 14 = - 7