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 = (3)*(7) + 4*(-2)
u*v = 21 - 8
u*v = 13
Hence, evaluating the product of the vectors u = u_x*i + u_y*j, v = v_x*i + v_y*j,u = <3,4>, v = <7,-2> , yields u*v = 13.
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