Direction ratios of lines \( l_1 \) and \( l_2 \) respectively are \( \langle 1, -2, 3 \rangle \) and \( \langle -2, p, -6 \rangle \). The value of p for which \( l_1 \parallel l_2 \), is :
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Parallel lines possess direction vectors that are scalar multiples of each other. Inspecting the numbers here, multiplying line 1's vector by \(-2\) directly yields line 2's vector: \(-2 \times (-2) = 4\).