JEE Main 2022 · 29 Jun · Shift 1, Mathematics question 29

Let $P_1:\vec r\cdot\left(2\hat i+\hat j-3\hat k\right)=4$ be a plane. Let $P_2$ be another plane which passes through the points $(2,-3,2)$, $(2,-2,-3)$ and $(1,-4,2)$. If the direction ratios of the line of intersection of $P_1$ and $P_2$ be $16,\alpha,\beta$, then the value of $\alpha+\beta$ is equal to ______.