Answer
$-3i+16j$
Work Step by Step
Let us consider $A$ and $B$ as vectors and, a vector $\overrightarrow{AB}$ can be found as:
$\overrightarrow{AB}=\overrightarrow{B}-\overrightarrow{A}=\lt -7,-8,1 \gt -\lt -10,8,1 \gt =\lt -3,16,0 \gt$
Hence, our final answer is: $\overrightarrow{P_1P_2}=-3i+16j$