Show that the point `A ,B ,C` with position vectors ` vec a-2 vec b+3 vec c ,2 vec a+3 vec b-4 vec c` and `-7 vec b+10 vec c` are collinear.

Explanation

We have Given:


`A=vec a-2 vec b+3 vec c`

`B=2 vec a+3 vec b-4 vec c`

`C=-7 vec b+10 vec c`


To Prove: A,B,C are collinear


In Proof:

Now we are given the points with position vectors so,

`vec(AB)=`Position Vector of `B`-Position Vector of `A`


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