Hi Sam, I assume that the brackets symbolize "vector". In that case we use the rules for vector operations which are simple algebraic operations: add, subtract, multiply and divide applied to higher dimensions, in this case two dimension.
Thus for u={3,-2} and v={-3,2}, we have: -4u -v = -4*{3,-2} - {-3,2}. Now perform simple operations on the first component then on the second to obtain: {-4*3 -(-3), -4(-2) -2} = {-12+3,8-2} = {-9,6}.
It would be a good idea to graph the two vectors and the operations for a visual cross-check.
Roberrt
