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The position vector of a point at a distance of \( 3 \sqrt{11} \) units from \( \hat{\mathrm{i}}-\hat{\mathrm{j}}+2 \hat{\mathrm{k}} \) on a line passing through the points \( \hat{\mathrm{i}}-\hat{\mathrm{j}}+2 \hat{\mathrm{k}} \) and parallel to the vector \( 3 \hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}} \) is
(1) \( 10 \hat{\mathrm{i}}+2 \hat{\mathrm{j}}-5 \hat{\mathrm{k}} \)
(2) \( -8 \hat{\mathrm{i}}-4 \hat{\mathrm{j}}-\hat{\mathrm{k}} \)
(3) \( 8 \hat{\mathrm{i}}+4 \hat{\mathrm{j}}+\hat{\mathrm{k}} \)
(4) \( -10 \hat{\mathrm{i}}-2 \hat{\mathrm{j}}-5 \hat{\mathrm{k}} \)
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