Saturday, November 7, 2009

`u = , v = ` 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 = (7)*(-3) + 1*(2)`


`u*v = -21 + 2`


`u*v = -19`


Hence, evaluating the product of the vectors `u = u_x*i + u_y*j, v = v_x*i + v_y*j,u = <7,1>, v = <-3,2>,` yields `u*v = -19.`

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