The line passing through the point $2 \bar{a}+\bar{b}$ and parallel to the vector $\bar{b}-\bar{c}$ and the plane passing through the point $\bar{a}$ and parallel to the vectors $\bar{b}+\bar{c}$ and $\bar{a}+2 \bar{b}-\bar{c}$ intersect at $P$. The position vector of $\mathrm{P}$ is