Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems Determine the unit vector perpendicular to and that has a positive -component.
MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra
Problem Determine the unit vector perpendicular to a = 3 i − j + 2 k \mathbf{a}=3\mathbf{i}-\mathbf{j}+2\mathbf{k} a = 3 i − j + 2 k b = − i + 4 j − k \mathbf{b}=-\mathbf{i}+4\mathbf{j}-\mathbf{k} b = − i + 4 j − k z z z 1 171 ( 7 i − j − 11 k ) \dfrac{1}{\sqrt{171}}\,( 7\mathbf{i}-\mathbf{j}-11\mathbf{k} ) 171 1 ( 7 i − j − 11 k ) 1 171 ( − 7 i − j + 11 k ) \dfrac{1}{\sqrt{171}}\,( -7\mathbf{i}-\mathbf{j}+11\mathbf{k} ) 171 1 ( − 7 i − j + 11 k ) 1 171 ( − 7 i + j + 11 k ) \dfrac{1}{\sqrt{171}}\,( -7\mathbf{i}+\mathbf{j}+11\mathbf{k} ) 171 1 ( − 7 i + j + 11 k ) 1 171 ( − 7 i + j + 11 k ) \dfrac{1}{171}\,( -7\mathbf{i}+\mathbf{j}+11\mathbf{k} ) 171 1 ( − 7 i + j + 11 k ) Browse the problem library