Friday, January 17, 2014

`bbu = , bbv = ` Find (a) `bbu + bbv`, (b) `bbu - bbv`, and (c) `2bbu - 3bbv`.

For vectors given in a component form linear combinations are also performed by components.


`u= lt-5,3gt,` `v= lt0,0gt,` therefore


(a) `u+v = lt-5+0,3+0gt = lt-5,3gt,`


(b) `u-v = lt-5-0,3-0gt = lt-5,3gt,`


(c) `2u-3v = lt2*(-5)+(-3)*0,2*3+(-3)*0gt = lt-10,6gt.`

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