You need to evaluate the product of the vectors u = u_x*i + u_y*j, v = v_x*i + v_y*j , such that:
u*v = u_x*v_x + u_y*v_y
u*v = (-2)*(-1) + 5*(-8)
u*v = 2 - 40
u*v = -38
Hence, evaluating the product of the vectors u = u_x*i + u_y*j, v = v_x*i + v_y*j,u = <-2,5>, v = <-1,-8> , yields u*v = -38.
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