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Problem Given a ⃗ = 2 i − j + 2 k \vec a = 2\mathbf{i}-\mathbf{j}+2\mathbf{k} a = 2 i − j + 2 k b ⃗ = − i + 3 j + 2 k \vec b = -\mathbf{i}+3\mathbf{j}+2\mathbf{k} b = − i + 3 j + 2 k 2 a ⃗ − 3 b ⃗ 2\vec a - 3\vec b 2 a − 3 b ( 7 174 , − 11 174 , 2 174 ) \left(\dfrac{7}{\sqrt{174}},-\dfrac{11}{\sqrt{174}},\dfrac{2}{\sqrt{174}}\right) ( 174 7 , − 174 11 , 174 2 ) ( 7 174 , − 11 174 , − 2 174 ) \left(\dfrac{7}{174},-\dfrac{11}{174},-\dfrac{2}{174}\right) ( 174 7 , − 174 11 , − 174 2 ) ( 7 174 , − 11 174 , − 2 174 ) \left(\dfrac{7}{\sqrt{174}},-\dfrac{11}{\sqrt{174}},-\dfrac{2}{\sqrt{174}}\right) ( 174 7 , − 174 11 , − 174 2 ) ( − 7 174 , 11 174 , 2 174 ) \left(-\dfrac{7}{\sqrt{174}},\dfrac{11}{\sqrt{174}},\dfrac{2}{\sqrt{174}}\right) ( − 174 7 , 174 11 , 174 2 ) Browse the problem library