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* If l, m, n are direction cosines of any straight line, show that the straight lines whosedirection cosines are given by the equations ul+vm+wn = 0 and al2+bm2+cn2 = 0are(a) perpendicular if u2(b + c) + v2(c + a) + w2(a + b) = 0,(b) parallel if u2a+v2b+w2c= 0

* If l, m, n are direction cosines of any straight line, show that the straight lines whosedirection cosines are given by the equations ul+vm+wn = 0 and al2+bm2+cn2 = 0are(a) perpendicular if u2(b + c) + v2(c + a) + w2(a + b) = 0,(b) parallel if u2a+v2b+w2c= 0

Grade:12th pass

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
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