Wednesday 7 August 2013

`bbu = 2bbj, bbv = 3bbi` Find (a) `bbu + bbv`, (b) `bbu - bbv`

You need to perform the addition of the vectors u and v,`u = u_x*i + u_y*j, v = v_x*i + v_y*j` , such that:


`u + v = (u_x+v_x)i + (u_y+v_y)j`


`u + v = (0+3)i + (2+0)j`


`u + v =3i + 2j`


Hence, evaluating the sum of the vectors u and v yields `u + v =3i + 2j` .


You need to perform the difference of the vectors u and v,`u =...

You need to perform the addition of the vectors u and v,`u = u_x*i + u_y*j, v = v_x*i + v_y*j` , such that:


`u + v = (u_x+v_x)i + (u_y+v_y)j`


`u + v = (0+3)i + (2+0)j`


`u + v =3i + 2j`


Hence, evaluating the sum of the vectors u and v yields `u + v =3i + 2j` .


You need to perform the difference of the vectors u and v,`u = u_x*i + u_y*j, v = v_x*i + v_y*j` , such that:


`u - v = (u_x-v_x)i + (u_y-v_y)j`


`u - v = (0-3)i + (2-0)j`


`u - v =-3i + 2j`


Hence, evaluating the sum of the vectors u and v yields `u - v =-3i + 2j.`

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