Find the distance of the point $\left(-1,-5,-10\right)$, from the point of intersection of the line $\vec{r}=\left(2\hat{i}-\hat{j}+2k\right)+\lambda \left(3\hat{i}+4\hat{j}+2\hat{k}\right)$and the plane $\vec{r}\dot{\hat{i}-\hat{j}+\hat{k}}=5$

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