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Problem Given A ⃗ = 2 i ^ − j ^ + k ^ \vec A = 2\,\hat i - \hat j + \hat k A = 2 i ^ − j ^ + k ^ B ⃗ = i ^ + 2 j ^ − 2 k ^ \vec B = \hat i + 2\,\hat j - 2\,\hat k B = i ^ + 2 j ^ − 2 k ^ 2 A ⃗ − B ⃗ 2\vec A - \vec B 2 A − B 3 5 i ^ − 4 5 j ^ + 4 5 k ^ \dfrac{3}{5}\,\hat i - \dfrac{4}{5}\,\hat j + \dfrac{4}{5}\,\hat k 5 3 i ^ − 5 4 j ^ + 5 4 k ^ 1 19 i ^ − 3 19 j ^ + 3 19 k ^ \dfrac{1}{\sqrt{19}}\,\hat i - \dfrac{3}{\sqrt{19}}\,\hat j + \dfrac{3}{\sqrt{19}}\,\hat k 19 1 i ^ − 19 3 j ^ + 19 3 k ^ 3 41 i ^ − 4 41 j ^ + 4 41 k ^ \dfrac{3}{\sqrt{41}}\,\hat i - \dfrac{4}{\sqrt{41}}\,\hat j + \dfrac{4}{\sqrt{41}}\,\hat k 41 3 i ^ − 41 4 j ^ + 41 4 k ^ 3 29 i ^ − 4 29 j ^ + 4 29 k ^ \dfrac{3}{\sqrt{29}}\,\hat i - \dfrac{4}{\sqrt{29}}\,\hat j + \dfrac{4}{\sqrt{29}}\,\hat k 29 3 i ^ − 29 4 j ^ + 29 4 k ^ Browse the problem library