i. Prove that the points $\vec{a}-2\vec{b}+3\vec{c},2\vec{a}+3\vec{b}-4\vec{c}\text{and}-7\vec{b}+10\vec{c}$ are are collinear, where $\vec{a},\vec{b},\vec{c}$ are non-coplanar. ii. Prove that the points $A\left(1,2,3\right),B\left(3,4,7\right),\text{and}C\left(-3,-2,-5\right)$ are collinear. find the ratio in which point C divides AB.

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