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Show that the points (3,4), (-5, 16), (5...

Show that the points (3,4), (-5, 16), (5,1) are collinear.

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A(3,4) B(-5,16) and C(5,1)
Their respective position vectors are=>`3hati+4hatj,-5hati+16hatj,5hati+hatj`
`vec(BA)=8hati-12hatj`
`vec(BC)=10hati-15hatj`
`vec(BA)=4/5vec(BC)`
thus these are parallel vectors.
since B is common therefore A,B,C are collinear points.
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