Tuesday, January 21, 2014

`u = 4i - j, v = i - j` Find `u*v`.

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 = (4)*(1) + (-1)*(-1)`


`u*v = 4 + 1`


`u*v = 5`


Hence, evaluating the product of the vectors` u = u_x*i + u_y*j, v = v_x*i + v_y*j,u = <4,-1>, v = <1,-1>,` yields `u*v = 5.`

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