Question

Find the direction cosines of two lines which are connected by the Relations l+m+n=0,l²+m²+n²=0
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Answer 1

Step-by-step explanation:

• Eliminating n from both the equations, we have
• P+ m² (+ m)²=0 P²+m²-P-m²-2ml=0
• 2lm=0
• Im = 0
• 1=0 or m=0
• If I = 0, we have m+n=0 and m²-n²=0
• 1=0, m=λ, n=-λ
• If m=0, we have 1+m=0 and 2-m²=0
• 1=-2, m=0, n=2
• So, the vector parallel to these given lines
• are a =j-k and b=-i+k.
• If angle between the lines is '6', then
• cos 8=
• cos 8= 2
• 8=