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A2 Core 4 Question - Vectors - Need Help watch

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1. Hi There, I'm really stuck on this question and would appreciate some help (It's probably just me being stupid but I just can't do it)

The question is from the AQA Pure Core 3 and 4 Book by Heinemann:

Exercise 9C - Pg 325: It's in Vectors but as I can't write them, I'll put them in co-ordinate form.

Question 5

The line l1 has equation r = (2,0,-1) + s(3,4,5)

(a) Find the acute angle between the line l1 and l2 with equation r = (5,-2,8) + t(3,-1,2).

(b) The line l3 passes through the points A(3,-2,4) and B(5,1,7). Show that the lines l1 and l2 intersect and find the coordinates of their point of intersection.
Original Question (I presume it's ok to post this as it's from Google Books, but I may be wrong):

I've done the first part ok so far, but I can't seem to do part (b). Can anybody help me? Would be appreciated!
2. If they intersect they'll have one point in common (say (x,y,z)). Can you solve for this consistently?
3. (Original post by hct1802)

You need to find the equation of l3.
4. Yeah thanks everyone. I've managed to do it after finding out l3

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