  We study ${\cal N}=3$ linear Chern-Simons-matter theories in the planar
limit. The matter content of the theory is depicted by a linear-shape diagram
with $n$ nodes and $n-1$ links for any $n$. The free energy and the vevs of BPS
Wilson loops are given in terms of a single 1-form on $\mathbb{CP}^1$ which can
be determined explicitly for all linear theories. The analytic structure of the
vevs of the Wilson loops is investigated in detail for $n=1$ and $n=2$. The
addition of fundamental matters is also discussed.
