The scalar product is very simple, if we have a 2 dimension vetorial space the inner product is
[tex]\begin{gathered} u=(u_1,u_2) \\ v=(v_1,v_2)_{} \\ \\ u\cdot v=u_1v_1+u_2v_2 \end{gathered}[/tex]Therefore, we have
[tex]\begin{gathered} u=(-13,-6) \\ v=(-13,7) \\ \\ u\cdot v=(-13)(-13)+(-6)(7) \\ \\ u\cdot v=169-42 \\ \\ u\cdot v=127 \end{gathered}[/tex]Therefore the correct answer is
[tex]u\cdot v=127[/tex]