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A unit vector parallel to the resultant of the vectors \( \overrightarrow{\mathrm{A}}=4 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}+6 \hat{\mathrm{k}} \) and \( \overrightarrow{\mathrm{B}}=-\hat{\mathrm{i}}+8 \hat{\mathrm{j}}-8 \hat{\mathrm{k}} \)
a. \( \frac{3 \hat{\mathrm{i}}+11 \hat{\mathrm{j}}-2 \hat{\mathrm{k}}}{2} \)
b. \( \frac{\hat{i}+2 \hat{j}-3 \hat{k}}{\sqrt{166}} \)
c. \( \frac{3 \hat{\mathrm{i}}+11 \hat{\mathrm{j}}-2 \hat{\mathrm{k}}}{\sqrt{134}} \)
d. \( \frac{4 \hat{\mathrm{i}}+6 \hat{\mathrm{j}}+8 \hat{\mathrm{k}}}{\sqrt{11}} \)
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