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Let \vec a,\vec b,\vec c be three non-zero vectors such that \vec b and \vec c are non-collinear. If \ \vec a+5\vec b\ is collinear with \vec c, and \ \vec b+6\vec c\ is collinear with \vec a, and \ \vec a+α,\vec b+β,\vec c=\vec 0, then α+β is equal to: | Watch the step-by-step video solution for this NIMCET PYQ.