Mathematics - Vector Question with Solution | TestHub

Let $\bar{x},\bar{y}$ and $\bar{z}$ be three vectors each of magnitude $\sqrt{2}$ and the angle between each pair of them is $\frac{\pi }{3}$. If $\bar{a}$ is a nonzero vector perpendicular to $\bar{x}$ and $\bar{y}\times \bar{z}$ and b is a nonzero vector perpendicular to $\bar{y}$ and $\bar{z}\times \bar{x}$, then which of the following options is/are correct