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Straight lines in 3D

Question

If the straight lines x = 1 + s, y = –3 –λ s, z = 1 +λ s and x=t2,y=1+t,z=2t with parameters ‘s’ and ‘t’ respectively are coplanar then 

λ  =

Moderate
Solution

Given lines are x11=y+3λ=z1λ,
x12=y11=z21
Given lines are coplanar
1411λλ1211=0,  λ=2



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