Hi E={(x,y,z) $\displaystyle \in \mathbb{R}^3$/ x+2y-z=0} F={(x,y,z) $\displaystyle \in \mathbb{R}^3$/x+y+z=0} i should calculate $\displaystyle E\cap F$? How to do it???
Last edited by lehder; Apr 24th 2010 at 01:55 PM.
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Originally Posted by lehder Hi E={(x,y,z) $\displaystyle \in \mathbb{R}^3$/ x+2y-z=0} F={(x,y,z) $\displaystyle \in \mathbb{R}^3$/x+y+z=0} i should calculate $\displaystyle E\cap F$? How to do it??? $\displaystyle (x_1,x_2,x_3) \in E \cap F$ if: 1. $\displaystyle x_1+2x_2-x_3=0$ 2. $\displaystyle x_1+x_2+x_3=0$ Now find a new condition based on these two.
Originally Posted by Defunkt $\displaystyle (x_1,x_2,x_3) \in E \cap F$ if: 1. $\displaystyle x_1+2x_2-x_3=0$ 2. $\displaystyle x_1+x_2+x_3=0$ Now find a new condition based on these two. which means he must solve the system, $\displaystyle \left\{\begin{matrix} x_1+2x_2-x_3=0\\ x_1+x_2+x_3=0 \end{matrix}\right.$
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