Let vector a and vector b be two non-zero vectors perpendicular to each other and |vector a| = |vector b|. If = |vector a x vector b| = |vector a|,

Question

Let \(\vec a\) and \(\vec b\) be two non-zero vectors perpendicular to each other and \(|\vec a|=|\vec b|\). If = \(|\vec a\times \vec b|=|\vec a|,\) then the angle between the vectors \((\vec a+\vec b + (\vec a\times \vec b))\) and \(\vec a\) is equal to :

Answer 1

Correct option is (2) cos^-1(\(\frac{1}{\sqrt3}\))

\(\vec a\) and \(\vec b\) are mutually perpendicular unit vectors.