Show that the points whose position vectors are as given below are collinear: `\ 2 hat i+ hat j- hat k ,\ 3 hat i-2 hat j+ hat k\ a n d\ hat i+4 hat j-3 hat k`

Explanation

We have to show that the points are collinear so


Let the points be :


`vec A=2 hat i+ hat j- hat k`


`vec B= 3 hat i-2 hat j+ hat k`


`vec C=hat i+4 hat j-3 hat k`


Now we have to show that these points are collinear it is possible only if

`|vec(AB)|+|vec(BC)|=|vec(AC)|`


Now,


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