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The position vector of the points P, Q, ...

The position vector of the points P, Q, R, S are `bar(i)+bar(j)+bar(k), 2bar(i)+5bar(j), 3bar(i)+2bar(j)-3bar(k) and bar(i)-6bar(j)-bar(k)` respectively. Prove that `bar(PQ) and bar(RS)` are parallel and find the ratio of their lengths.

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The correct Answer is:
`1:2`
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