 In this video we provide the solution to question number two for practice exam number three for math 1060 We're given two vectors u equals i minus j and v equals 2i minus 3j where i and j are the unit Directional vectors i goes in the x direction one unit j goes in the y direction vertical direction one unit And we're asked to compute the linear combination 2u plus 3v So to do that we're going to take two times u which is i minus j here And then we're going to take three times v which is 2i minus 3j And honestly you can treat these vectors as if they were variables just combine like terms distribute there We're going to get a 2i minus 2j plus a 6i minus 9j and So we get 2i plus 6i which is going to be an 8i then we get negative 2j minus 9j Which is negative 11j and in which case we didn't see that the correct answer is a 8i minus 11j