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if two mutually perpendicular lines with their direction cosines are given and we have to find out the direction cosine of a line perpendicular to both given lines.then how we will find out.

6 years ago


Answers : (1)


dear Mohummed Imran,

Let us consider the DR's of two perpendicular lines be (l1.m1,n1) and (l2,m2,n2)

and the other one be (l3,m3,n3)


l1 * l3+ m1 * m3 + n1*n3=0

and l2*l3 + m2*m3 + n2*n3 = 0

using the above two equations we can establish a relationship between l3,m3,n3 and other thus find out the DRs

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6 years ago

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