JEE Main 2022 · 29 Jun · Shift 2, Mathematics question 21

Let $\vec a=\hat i-2\hat j+3\hat k$, $\vec b=\hat i+\hat j+\hat k$ and $\vec c$ be a vector such that $\vec a+\left(\vec b\times\vec c\right)=\vec0$ and $\vec b\cdot\vec c=5$. Then, the value of $3\left(\vec c\cdot\vec a\right)$ is equal to ______.