Unit Vectors Questions

A unit vector $\vec{a}$ makes angle $\pi /3$ with $\hat{i}$, $\pi /4$ with $\hat{j}$ and an acute angle $\theta$ with $\hat{k}$.I. The value of $\theta$ is $\pi /3$.II. The components of $\vec{a}$ are $(1/2,1/2,1/2)$.Which of the above statement(s) is/are correct?