Statement 1: if three points $P,QandR$ have position vectors $\vec{a},\vec{b},and\vec{c}$ , respectively, and $2\vec{a}+3\vec{b}-5\vec{c}=0,$ then the points $P,Q,andR$ must be collinear. Statement 2: If for three points $A,B,andC,\vec{A}B=\lambda \vec{A}C,$ then points $A,B,andC$ must be collinear.

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