Matematické Fórum

stuart clark · 11. 02. 2015 04:36

If $P_{1}$ and $P_{2}$ are plane passing through origin and $L_{1}$ and $L_{2}$ are two lines on $P_{1}$ and $P_{2}$ respectively , such that there intersection is at origin.

Show that there exists points $A,B,C$ whose permutations $A{'},B^{'},C^{'}$ respectively, can be chosen such that

$(i)\; A$ is on $L_{1}\;,B$ on $P_{1}$ but not on $L_{1}$ and $C$ not on $P_{1}$ and $(i)\; A^{'}$ is on $L_{2}\;,B^{'}$ on $P_{2}$ but not on $L_{2}$ and $C^{'}$ not on $P_{2}$

Matematické Fórum

#1 11. 02. 2015 04:36

vectors(II)

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