- #1
dswatson
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Let L1 be the line parametrized by r1(t) = <t+1,2t-1,-t+2> and L2 be the line parametrized by r2(t)=<2t+6,-t-1,-2t-3>. Determine if L1 and L2 are the same, parallel, intersecting, or skew. I set x1=x2,y1=y2, and z1=z2 and the t does not equal ct so they are not parallel or the same line.
I then changed the parameters of L2 from t to s and set the components equal.
2s+6=t+1
t=2s+5
then plugged back into the equations.
I got 2s+5,4s+9,-2s-3=2s+6,-s-1,-2s-3
the z terms are the same so does that mean they intersect at some point?
I put this on a test and it was counted as incorrect and I was wondering how to correct it. Thank you in advance.
I then changed the parameters of L2 from t to s and set the components equal.
2s+6=t+1
t=2s+5
then plugged back into the equations.
I got 2s+5,4s+9,-2s-3=2s+6,-s-1,-2s-3
the z terms are the same so does that mean they intersect at some point?
I put this on a test and it was counted as incorrect and I was wondering how to correct it. Thank you in advance.