Saturday, June 21, 2014

`u = 3i + 4j, v = 7i - 2j` 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 = (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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