Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems Mathematics
Mathematics
Problem The 3-dimensional vectors v 1 , v 2 , v 3 \mathbf{v}_1, \mathbf{v}_2, \mathbf{v}_3 v 1 , v 2 , v 3 v 1 ⋅ v 1 = 4 , v 1 ⋅ v 2 = − 2 , v 1 ⋅ v 3 = 6 , v 2 ⋅ v 2 = 2 , v 2 ⋅ v 3 = − 5 , v 3 ⋅ v 3 = 29 \mathbf{v}_1 \cdot \mathbf{v}_1 = 4, \mathbf{v}_1 \cdot \mathbf{v}_2 = -2, \mathbf{v}_1 \cdot \mathbf{v}_3 = 6, \mathbf{v}_2 \cdot \mathbf{v}_2 = 2, \mathbf{v}_2 \cdot \mathbf{v}_3 = -5, \mathbf{v}_3 \cdot \mathbf{v}_3 = 29 v 1 ⋅ v 1 = 4 , v 1 ⋅ v 2 = − 2 , v 1 ⋅ v 3 = 6 , v 2 ⋅ v 2 = 2 , v 2 ⋅ v 3 = − 5 , v 3 ⋅ v 3 = 29 v 3 \mathbf{v}_3 v 3 − 3 i ^ + 2 j ^ ± 4 k ^ -3\hat{i} + 2\hat{j} \pm 4\hat{k} − 3 i ^ + 2 j ^ ± 4 k ^ 3 i ^ − 2 j ^ ± 4 k ^ 3\hat{i} - 2\hat{j} \pm 4\hat{k} 3 i ^ − 2 j ^ ± 4 k ^ − 2 i ^ + 3 j ^ ± 4 k ^ -2\hat{i} + 3\hat{j} \pm 4\hat{k} − 2 i ^ + 3 j ^ ± 4 k ^ 2 i ^ + 3 j ^ ± 4 k ^ 2\hat{i} + 3\hat{j} \pm 4\hat{k} 2 i ^ + 3 j ^ ± 4 k ^ Browse the problem library