Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems If and , then a unit vector perpendicular to both and is (A) (B) (C)…
MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra
Problem If u ⃗ = 2 i ^ + 2 j ^ − k ^ \vec{u} = 2\hat{i} + 2\hat{j} - \hat{k} u = 2 i ^ + 2 j ^ − k ^ v ⃗ = 6 i ^ − 3 j ^ + 2 k ^ \vec{v} = 6\hat{i} - 3\hat{j} + 2\hat{k} v = 6 i ^ − 3 j ^ + 2 k ^ u ⃗ \vec{u} u v ⃗ \vec{v} v i ^ − 10 j ^ − 18 k ^ \hat{i} - 10\hat{j} - 18\hat{k} i ^ − 10 j ^ − 18 k ^ 1 17 ( 1 5 i ^ − 2 j ^ − 18 5 k ^ ) \frac{1}{\sqrt{17}} \left( \frac{1}{5}\hat{i} - 2\hat{j} - \frac{18}{5}\hat{k} \right) 17 1 ( 5 1 i ^ − 2 j ^ − 5 18 k ^ ) 1 473 ( 7 i ^ − 10 j ^ − 18 k ^ ) \frac{1}{\sqrt{473}} (7\hat{i} - 10\hat{j} - 18\hat{k}) 473 1 ( 7 i ^ − 10 j ^ − 18 k ^ ) 1 425 ( i ^ − 10 j ^ − 18 k ^ ) \frac{1}{\sqrt{425}} (\hat{i} - 10\hat{j} - 18\hat{k}) 425 1 ( i ^ − 10 j ^ − 18 k ^ ) Browse the problem library