1.
Let α\vec{\alpha}, β\vec{\beta}, γ\vec{\gamma} be three unit vectors such that αβ=αγ=0\vec{\alpha} \cdot \vec{\beta} = \vec{\alpha} \cdot \vec{\gamma} = 0 and the angle between β\vec{\beta} and γ\vec{\gamma} is 3030^{\circ}. Then α\vec{\alpha} is