Question bank/JEE Main/Mathematics

Unit vectors [IMAGE] and [IMAGE] is
coplanar; unit vector [IMAGE] is perpendicular to them.
If [IMAGE] and angle between [IMAGE] and
[IMAGE] 30º then [IMAGE] can be

A$\frac{i - j + k}{\sqrt{3}}$B$\frac{i - 2j + 2k}{3}$C$\frac{2i - j + k}{\sqrt{6}}$D$\frac{i - 2j + 2k}{6}$

Show answer and solution▾

$\lambda = \pm 2$

Source: Grass-G / M-23 Mathematics Paper 31 Dec FST.docx