The magnitude and direction of vectors u and v are given. Find vector w's polar coordinates. U: Magnitude 621, bearing 305° v: Magnitude 336, bearing 15° 3(w + u) = 2(w - v)?

First, we solve for w.
  3(w+you) = 2(w-v)
  3w + 3u = 2w - 2v    (expand parentheses)
  w + 3u = -2v    (subtract 2w)
  w = -3u - 2v    (subtract 3u)
Then, we find you and v in rectangular coordinates.
  you = (621, 305°) ≈ (356.191, -508.693)
  v = (336, 15°) ≈ (324.551, 86.9632)
Now, we can find w.
  w = -3(356.191, -508.693) - 2(324.551, 86.9632)
  w = (-1717.675, 1352.1526) ≈ (2186, 141.8°)