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 = (1)*(-2) + (-2)*(1)`
`u*v = -2 - 2`
`u*v = -4`
Hence, evaluating the product of the vectors `u = u_x*i + u_y*j, v = v_x*i + v_y*j,u = <1,-2>, v = <-2,1>` , yields` u*v = -4.`
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