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If vec a , vec b ,a n d vec c are non-z...

If ` vec a , vec b ,a n d vec c` are non-zero vectors such that ` vec a. vec b= vec a. vec c ,` then find the geometrical relation between the vectors.

Text Solution

Verified by Experts

` 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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