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If the points (-1,1,2),(2,m ,5)a n d(3,1...

If the points `(-1,1,2),(2,m ,5)a n d(3,11 ,6)` are collinear, find the value of `mdot`

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Let the given points be
`A(−1,−1,2),B(2,m,5),C(3,11,6)`.
Then, `AB=(2+1)i+(m+1)j ​+(5−2)k`
`=3i+(m+1)j​+3k`
and, `AC=(3+1)i+(11+1)j+(6−2)k`
`=4i+12j+4k`
Now, `AB=λAC`
`3i+(m+1)j+3k`
...
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