Find the value of p such that the lines\(\frac{x-1}{3}=\frac{y+4}{p}=\frac{z-9}{1}\) \(\frac{x+2}{1}=\frac{y-3}{1}=\frac{z-7}{-2}\) are at right angles to each other.

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Find the value of p such that the lines<br />\(\frac{x-1}{3}=\frac{y+4}{p}=\frac{z-9}{1}\) <br />\(\frac{x+2}{1}=\frac{y-3}{1}=\frac{z-7}{-2}\) <br />are at right angles to each other.