The question I have a problem with is this:

1. The lines l1 and l2 have vector equations given by:

r1 = 3i-j+ 2k+λ(-2i+j+k)

r2 = -2i+ 9j- 2k+μ(5i- 2j+k)

Find the values ofλandμwhen the vectorr1 -r2 is perpendicular to both lines.

2. Find the shortest distance between the two lines

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I am getting the values ofλandμboth zero, and I do not think it makes sense, since you wouldn't be able to work out part 2.

Any help?

Thanks in advance