Let a =\(\^i+4\^j+2\^k,b=3\^i−2\^j+7\^k \,\,\,\,and\,\,\.\ c=2\^i−\^j+4\^k\). Find a vector d satisfies \(\overrightarrow{d}\times{\overrightarrow{b}}=\overrightarrow{c}\times{\overrightarrow{b}}\) and \(\overrightarrow{d}.\overrightarrow{a}=24\), then \(|\overrightarrow{d}|^2\) is equal to