Let L1 be the line passing through the points Q1=(3, −3, 4) and Q2=(−3, 6, 7). Find a value of k so the line L2 passing through the point P1 = P1(−6, 11, k) with direction vector →d=[1, −1, −2]T intersects with L1.

Not sure how to go on..

3 answers

I did this for you here, you even thanked me for it
??

https://www.jiskha.com/questions/1768758/Let-L1-be-the-line-passing-through-the-points-Q1-2-3-4-and-Q2-5
I also answered your other question from yesterday,
you answer was incorrect.

https://www.jiskha.com/questions/1768663/The-parametric-equations-for-a-line-L1-are-as-follows-x-1-2t-y-4-4t-z
It is the different type of question though. The point P1 includes k