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

find the point in this plane where it intersects the z axis (x=y=0).

P = {<x;y;z;> = <1;-1;0;> + a<1;-2;0;> + b<2;0;-1;> , for all a,b}

(by <l;m;n;> i mean to denote a column)

2. Relevant equations

3. The attempt at a solution

I talked to my TA last friday and he made it seem easy, but I don't remember what he said anymore. I have something that looks like

I set up a matrix that looks like

[<1;-1;0;> <1;-2;0;> <2;0;-1;>] [<1;a;b>] = [<0;0;2;>]

I'm not really sure what to do from here. It says it is asking for a point, does this mean which (a,b) works? What can you help me with?

Thanks in advance.

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# Homework Help: Find Find the point in this plane where it intersects the z axis

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