Linear Algebra: Distance between two lines and points?

Posted on 2014-12-06 07:00:00 in Math by MICHEL

Let P=(4?5,2), Q=(3?2,0), R=(6?5,2) and S=(3?6,0). Let l1 be the line passing through P and Q, and let l2 be the line passing through R and S.

(i) The distance between R and l1 is?
(ii) between l1 and l2?

I am really stuck and tried several approaches. Can someone walk me through how to do this question?

I first decided to find the direction vectors of each line and tried projection and such without any luck... I'm confused!

The correct answers are
(i)1.927
(ii)1.1925

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