If A =2 i + j + k and B = i + j + k are two vectors, then the unit vector

Physics · JEE Advanced · NTA Exams — Physics and Measurement

If \(\vec{A}=2 \hat{i}+\hat{j}+\hat{k}\)and \(\vec{B}=\hat{i}+\hat{j}+\hat{k}\) are two vectors, then the unit vector

perpendicular to \(\vec{A}\) is \[\left(\frac{-\hat{j}+\hat{k}}{\sqrt{2}}\right)\]
parallel to \(\vec{A}\) is \[\left(\frac{2 \hat{i}+\hat{j}+\hat{k}}{\sqrt{6}}\right)\]
perpendicular to \(\vec{B}\) is \[\left(\frac{-\hat{j}+\hat{k}}{\sqrt{2}}\right)\]
parallel to \(\vec{A}\) is \(\frac{\hat{i}+\hat{j}+\hat{k}}{\sqrt{3}}\)

Answer

(A) perpendicular to A is ( - j + k 2 ), (B) parallel to A is ( 2 i + j + k 6 ), (C) perpendicular to B is ( - j + k 2 )

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.