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

Givena= <1,2,3> andb= <1,-1,-1>, sketch the collection of all position vectorscsatisfyinga x b=a x c

2. Relevant equations

3. The attempt at a solution

I've calculateda x b= <1,4,-3> and Definingc= <x,y,z> I founda x c= <2z-3y, z-3x, y-2x>. I want to come up with an algebraic representation of the vectors so I created the following system of equations

1 = 2z - 3y

4 = 3x - z

-3 = y - 2x

So x,y, and z that satisfy all three equations are a possible vector. I'm having trouble solving it, and I'm thinking I'm just going to get a single solution to this system If I do manage to solve it and it has a solution.

Can you help?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Drawing a Collection Of vectors Satisfying Cross Products

**Physics Forums | Science Articles, Homework Help, Discussion**