UVWXYZ UVWXYZ\,UVWXYZ is a regular hexagon with centre OOO.
OU⃗=u \vec{OU} = \mathbf{u} OU=u OV⃗=v \vec{OV} = \mathbf{v} OV=vFind, in terms of u\mathbf{u}u, the vector UX⃗\vec{UX}UX.
Find, in terms of u\mathbf{u}u and v\mathbf{v}v, the vector UV⃗\vec{UV}UV.
Find, in terms of v\mathbf{v}v, the vector UZ⃗\vec{UZ}UZ.