\[ 2X(g) \rightleftharpoons 2Y(g) + Z(g) \]
$K_C$ at 400K is $1 \times 10^{-3}$ mol L-1. What is the value of $K_P$ for the equilibrium at 400K?\[ R = 0.082 \, \text{L atm K}^{-1} \, \text{mol}^{-1} \]
If $ | \vec{a} | = 3 $, $ | \vec{b} | = 2 $, then find $ (3\vec{a} - 2\vec{b}) \cdot (3\vec{a} + 2\vec{b}) $.