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Problem Vectors a \mathbf{a} a b \mathbf{b} b a − b = ( 1 , − 2 , 3 ) \mathbf{a}-\mathbf{b}=(1,-2,3) a − b = ( 1 , − 2 , 3 ) 3 a + 2 b = ( 7 , − 4 , 5 ) 3\mathbf{a}+2\mathbf{b}=(7,-4,5) 3 a + 2 b = ( 7 , − 4 , 5 ) a \mathbf{a} a ( 7 5 , − 4 5 , 1 ) \left(\dfrac{7}{5},-\dfrac{4}{5},1\right) ( 5 7 , − 5 4 , 1 ) ( 11 5 , − 8 5 , 9 5 ) \left(\dfrac{11}{5},-\dfrac{8}{5},\dfrac{9}{5}\right) ( 5 11 , − 5 8 , 5 9 ) ( 9 5 , − 8 5 , 11 5 ) \left(\dfrac{9}{5},-\dfrac{8}{5},\dfrac{11}{5}\right) ( 5 9 , − 5 8 , 5 11 ) ( 4 5 , 2 5 , − 4 5 ) \left(\dfrac{4}{5},\dfrac{2}{5},-\dfrac{4}{5}\right) ( 5 4 , 5 2 , − 5 4 ) Browse the problem library