Let u =, v =. Find 9u + 2v.

9u means you're multiplying 9 into that vector, both components. Same with the 2v. 9*3 = 27 and 9*-1 = - 9, so your new vector u is. Now let's do v. 2 * - 6 (twice) = - 12, so your new v vector is. Add those together now, first components of each and second components of each. 27 + (-12) = 15; - 9 + (-12) = - 21. So the addition of those gives us a final vector with a displacement of