Using vector method, prove that the following points are collinear:
A(6,-7,-1) B(2,-3,1) C(4,-5,0)

Explanation

We are given the points `A(6,-7,-1), B(2,-3,1), \ and \ C(4,-5,0)`


Let the position vectors be :


Position vector of ` A=6 hat i-7 hat j- hat k`


Position vector of ` B=2 hat i-3 hat j+ hat k`


Position vector of `C=4 hat i-5 hat j`


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

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


Therefore,


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