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If veca, vecb and vecc are non - zero ve...

If `veca, vecb and vecc` are non - zero vectors such that `veca.vecb= veca.vecc`,then find the goemetrical relation between the vectors.

Text Solution

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` veca.vecb = veca.vecc`
`veca. Vecb-veca . Vecc =vec0`
`veca. (vecb.vecc)=vec0`
Either `vecb=-vecc=vec0 or veca bot (vecb-vecc)`
`Rightarrow vecb = vecc or veca (vecb- vecc)`
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