Specialist2025 NHT Exam 1 · Q6Tech-free4 marks

Skew lines and shortest distance

Consider the lines $L_1$ and $L_2$ with respective equations

${\underset{\sim}{r}}_{1} (t) = \underset{\sim}{i} - 2 \underset{\sim}{j} +$ and , where .

Show that $L_1$ and $L_2$ are skew, that is they do not intersect and they are not parallel.

2 marks

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Find the shortest distance between $L_1$ and $L_2$ .

2 marks

Hints, answer checking and worked solutions come with a Season Pass.