Question Involving Dot/Cross Products

Question

Let A, B, and C be vectors in $R^3$. Let $ A = 2B - C, B\bullet C = 2, |A \times C| = 1, and |C| = 3.$ Find $|A| and |B|$. So far, I know that $A\bullet C = 2B\bullet C - C\bullet C$, so $A\bullet C = 2(2) - 9 = -5$ but I'm a little lost on how to approach this next