Given vectors #u##=##<4,1># & #v##=##<1,3>#, how would I determine the quantity #3u#*#-2v#? Precalculus Algebraic Modeling Solving Problems Algebraically and Graphically 1 Answer Trevor Ryan. Oct 9, 2015 #<10,-9># Explanation: By #u**#I assume we mean #bar u#, ie the complex conjugate of the vector u. In this case, #3 baru-2v=3(4;-1)-2(1;3)# #=(12;-3)-(2;6)=(10;-9)# Answer link Related questions What does it mean to solve a problem algebraically? What is a sample problem to solve algebraically? What does it mean to solve a problem graphically? What is a sample problem to solve graphically? How do I find #f(3)# from the graph of #f(x) = x^2 - 4x + 3#? How do I find #f(x)# if its graph includes #{(1, 5), (2, 8), (3, 11)}#? How can I use a graph to write an algebraic function? How do I use algebra to find a graph's x-intercept? How do you solve #x^3 + 4x^2 - 20x = 80#? How do you solve #x^3 + 147 = 3x^2 + 49x#? See all questions in Solving Problems Algebraically and Graphically Impact of this question 7309 views around the world You can reuse this answer Creative Commons License