(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Ok I have a bunch of questions, please bare with me and i'd appreciate it VERY much if you could help me with these!

1. Assume that you are given the equations of three planes. Without solving the system, describe a "test" with rationale, that you could use to determine whether or not the planes intersect at a single point.

2. Given the equations of three lines in R^3

L1 = (1,4,1) + t(3,3,-2)

L2 = (-3,-5,8) + r(5,0,1)

L3 = (3,-5,8) + s(-5,0,-1)

a) Can all three lines be concurrent (i.e interesect at one point)? Algebraic solution not required

b) Determine the point of intersection of L1 and L2

c) Use information of part a) to help in determining the distance between L3 and L2

End questions.

I'd appreciate it a lot if someone can help me... :(

2. Relevant equations

I'm not sure, I got these questions on a whim and my textbook doesn't offer much help other than simple formulas.

3. The attempt at a solution

I'm really unsure how to approach these questions.. I got them on a whim and I haven't faced this unit of calculus before..

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# Homework Help: Planes in 3D and Lines in 3D

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