\( A, B, C \) and \( D \) are four points such that \( \overrightar...

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\( A, B, C \) and \( D \) are four points such that \( \overrightarrow{A B}=m(2 \hat{i}-6 \hat{j}+2 \hat{k}), \overrightarrow{B C}=(\hat{i}-2 \hat{j}) \) and
\( \mathrm{P} \) \( \overrightarrow{C D}=n(-6 \hat{i}+15 \hat{j}-3 \hat{k}) \). If \( C D \) intersects \( A B \) at some point \( E \), then
(1) \( m \geq 1 / 2 \)
(2) \( n \geq 1 / 3 \)
(3) \( m=n \)
(4) \( mn \)
W.
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