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Problem Given A = 2 i ^ − j ^ + 3 k ^ \mathbf{A}=2\hat{i}-\hat{j}+3\hat{k} A = 2 i ^ − j ^ + 3 k ^ B = i ^ + 2 j ^ + 2 k ^ \mathbf{B}=\hat{i}+2\hat{j}+2\hat{k} B = i ^ + 2 j ^ + 2 k ^ A − B \mathbf{A}-\mathbf{B} A − B 1 11 ( − i ^ + 3 j ^ − k ^ ) \dfrac{1}{\sqrt{11}}\,(-\hat{i}+3\hat{j}-\hat{k}) 11 1 ( − i ^ + 3 j ^ − k ^ ) 1 11 ( i ^ − 3 j ^ + k ^ ) \dfrac{1}{\sqrt{11}}\,(\hat{i}-3\hat{j}+\hat{k}) 11 1 ( i ^ − 3 j ^ + k ^ ) 1 14 ( i ^ − 3 j ^ + k ^ ) \dfrac{1}{\sqrt{14}}\,(\hat{i}-3\hat{j}+\hat{k}) 14 1 ( i ^ − 3 j ^ + k ^ ) 1 11 ( i ^ + 3 j ^ − k ^ ) \dfrac{1}{\sqrt{11}}\,(\hat{i}+3\hat{j}-\hat{k}) 11 1 ( i ^ + 3 j ^ − k ^ ) Browse the problem library