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If vec axx vec b= vec bxx vec c!=0,w h ...

If ` vec axx vec b= vec bxx vec c!=0,w h e r e vec a , vec b ,a n d vec c` are coplanar vectors, then for some scalar `k` prove that ` vec a+ vec c=k vec bdot`

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since `veca xx vecb = vecb xx vecc ne vec0` , we have
`veca xx vecb - vecb xx vecc = vec0`
` or veca xx vecb + vecc xx vecb = vec0`
`or ( veca + vecc) xx vecb = vec0 `
Hence, `veca + vecb` is parallel to `vecb` . Thus ,
`veca + vecc = k vecb`
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