We are given the following vectors:
[tex]\begin{gathered} v_1=(2,4) \\ v_2=(-1,5) \end{gathered}[/tex]We are asked to determine the dot product of the vectors. The dot product is defined as the sum of the product of each corresponding coordinate of the vectors, that is:
[tex]v_1\cdot v_2=(2)(-1)+(4)(5)[/tex]Solving the product:
[tex]v_1\cdot v_2=-2+20[/tex]Solving the addition:
[tex]v_1\cdot v_2=18[/tex]