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The projection of the line joining (2,3,...

The projection of the line joining (2,3,4) and (5,6,7) on the plane 2x +y +z =1 is:-

Text Solution

Verified by Experts

`vec(AB)=3hati+3hatj+3hatk`
`costheta=(vec(AB)*vecn)/(|vec(AB)||vecn|)`
`=(6+3+3)/(3sqrt3sqrt6)`
`=12/(9sqrt2`
`=(2sqrt2)/3`
`P=3sqrt3sqrt(1-(8/9))`
`3sqrt3sqrt(1/9)=sqrt3`
Option 3 is correct.
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