Find the value of p such that the lines \(\frac{x+11}{4}=\frac{y+3}{-2}=\frac{z-3}{4} \,and \,\frac{x-3}{p}=\frac{y+12}{2}=\frac{z-3}{-12}\) are at right angles to each other.

MCQs on direction cosines and line ratios, line equation in space, angle and shortest distance b/w two lines, plane, angle b/w two planes, two lines coplanarity, point distance from plane, angle b/w line and plane.