Vector Algebra: JEE Main 2021 Mathematics question

A vector $\overrightarrow a$ has components 3p and 1 with respect to a rectangular cartesian system. This system is rotated through a certain angle about the origin in the counter clockwise sense. If, with respect to new system, $\overrightarrow a$ has components p + 1 and $\sqrt {10}$, then the value of p is equal to :