Let \[\vec a,\vec b{\text{ }}and{\text{ }}\vec c\] be three non zero vectors o two which coillinear

Let \[\vec a,\vec b{\text{ }}and{\text{ }}\vec c\] be three non zero vectors, no two of which are coillinear and the vector \[\vec a + \vec b\] is collinear with \[\vec c\] while \[\vec b + \vec c\] is collinear with \[\vec a\] then \[\vec a + \vec b + \vec c\] is equal to; [NIMCET 2010]

(a) \[\vec a\] (b) \[\vec b\] (c) \[\vec c\] (d) none of these
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