The unit vector parallel to the resultant of the vectors \[\vec{A}=4\hat{i}+3\hat{j}+6\hat{k}\] and \[\vec{B}=-\hat{i}+3\hat{j}-8\hat{k}\] is [EAMCET 2000]

• A.                    \[\frac{1}{7}(3\hat{i}+6\hat{j}-2\hat{k})\]
• B.                                      \[\frac{1}{7}(3\hat{i}+6\hat{j}+2\hat{k})\]
• C.            \[\frac{1}{49}(3\hat{i}+6\hat{j}-2\hat{k})\]               
• D.            \[\frac{1}{49}(3\hat{i}-6\hat{j}+2\hat{k})\]