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Prove that the two lines whose direction...

Prove that the two lines whose direction cosines are given by the relations `pl+qm+rn=0 and al^2+bm^2+cn^2=0` are perpendicular if `p^2(b+c)+q^2(c+a)+r^2(a+b)=0 and parallel if `p^2/a+q^2/b+r^2/c=0`

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