Show that the points with position vectors ` vec a-2 vec b+3 vec c ,-2 vec a+3 vec b+2 vec ca n d-8 vec a+13 vec b` are collinear whatever be ` vec a , vec b , vec cdot`

Explanation

Let `A=a−2⃗b+3⃗c`

`B=−2⃗a+3⃗b+2⃗c`

`C=−8⃗a+13⃗b`

`AB= 3a-5b+c`

`BC=6a-10b+2c`

`AB=2BC`

So,

it is collinear