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if vecr.veci=vecr.vecj=vecr.veck and|vec...

if `vecr.veci=vecr.vecj=vecr.veck and|vecr|= 6, "then find vector" vecr`.

Text Solution

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let `vecr= x hati+ yhatj+ zhatk`. Since `vecr.hati= vecr.Hatj = vecr.hatk`
x=y=z
Also `|vecr|= sqrt(x^(2)+y^(2)+z^(2))=3`
`x= sqrt3`
Hence, the required vector, `vecr= +-sqrt3(hati+hatj+hatk)`
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