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Problem Let a = 3 i ^ − j ^ + 2 k ^ \mathbf{a}=3\hat i-\hat j+2\hat k a = 3 i ^ − j ^ + 2 k ^ b = 2 i ^ + 4 j ^ − k ^ \mathbf{b}=2\hat i+4\hat j-\hat k b = 2 i ^ + 4 j ^ − k ^ a \mathbf{a} a b \mathbf{b} b − i ^ − j ^ + 2 k ^ 6 \displaystyle \frac{-\hat i-\hat j+2\hat k}{\sqrt6} 6 − i ^ − j ^ + 2 k ^ − i ^ + j ^ + 2 k ^ 14 \displaystyle \frac{-\hat i+\hat j+2\hat k}{\sqrt{14}} 14 − i ^ + j ^ + 2 k ^ − i ^ + j ^ + 2 k ^ 6 \displaystyle \frac{-\hat i+\hat j+2\hat k}{\sqrt6} 6 − i ^ + j ^ + 2 k ^ 5 i ^ + 3 j ^ + k ^ 35 \displaystyle \frac{5\hat i+3\hat j+\hat k}{\sqrt{35}} 35 5 i ^ + 3 j ^ + k ^ Browse the problem library