Let \(L\) be the line parallel to the vector \(\sqrt{2} \hat{\mathbf{i}}-5 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}\) and passing through the point A given by \(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}-3 \hat{\mathbf{k}}\). If the distance between \(A\) and a point \(P\) on the line \(L\) is 18 units, then the position vector of such a point \(P\) is

1. A \((1-3 \sqrt{2}) \hat{\mathbf{i}}+17 \hat{\mathbf{j}}-12 \hat{\mathbf{k}}\)
2. B \((1+3 \sqrt{2}) \hat{\mathbf{i}}+17 \hat{\mathbf{j}}+12 \hat{\mathbf{k}}\)
3. C \((1+3 \sqrt{2}) \hat{\mathbf{i}}-17 \hat{\mathbf{j}}-12 \hat{\mathbf{k}}\)
4. D \((1-3 \sqrt{2}) \hat{\mathbf{i}}-17 \hat{\mathbf{j}}+12 \hat{\mathbf{k}}\)