Answer:
As\[2\vec{A}+7\,\vec{B}+4\vec{C}=0\]; so\[\vec{C}=-\frac{1}{4}[2\vec{A}+7\,\vec{B}]-\frac{1}{4}[\text{2}(\text{3\hat{i}}+\text{5\hat{j}}-\text{2\hat{k}})+\text{7}(-\text{
3\hat{j}}+\text{6\hat{k}})]\]
\[=-[\text{6\hat{i}}-\text{11\hat{j}}+\text{38\hat{k}}]=\text{1}.\text{5\hat{i}}+\text{2}.\text{75\hat{j}}-\text{9}.\text{5\hat{k}}\]
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