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To a man running upwards on the hill, the. rain appears to vertically downwards with \( 4 \mathrm{~m} / \mathrm{s} \). The velocity vector of the man w.r.t. earth is \( (2 \hat{i}+3 \hat{j}) \mathrm{m} / \mathrm{s} \). If the man starts running down the hill with the same speed, then determine the relative velocity (in \( \mathrm{m} / \mathrm{s} \) ) of the rain w.r.t. man.
(a) \( 2 \hat{i}+4 \hat{j} \)
(b) \( 4 \hat{i}-2 \hat{j} \)
(c) \( 2 \hat{i}-4 \hat{j} \)
(d) \( 4 \hat{i}+2 \hat{j} \)
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