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#### karush

##### Well-known member

- Jan 31, 2012

- 3,255

Find scalars $a, b$ such that $a(u + v) = 8i + (b – 2)j$

$(u+v)=4i+3j$

in order to get the $8i$ let $a=2$

then $2(4i+3j)=8i+6j$

in order to get $6j$ let $b=8$ then $(8-2)j=6j$

so $a=2$ and $b=8$

I am not sure of the precise definition of what scalar means here...at least with vectors