Plane intersection

Task number: 2354

For planes \(\alpha: x+y+z-10=0\), \(\beta: x+y-z-4=0\), \(\gamma: -x+y+z-6=0\), and \(\delta: x-y+z-8=0\), determine the intersections:

  • Variant 1

    \(\beta \cap \gamma \cap \delta \)

  • Variant 2

    \(\alpha \cap \gamma \cap \delta \)

  • Variant 3

    \(\alpha \cap \beta \cap \delta \)

  • Variant 4

    \(\alpha \cap \beta \cap \gamma \)

Difficulty level: Easy task (using definitions and simple reasoning)
Routine calculation training
Cs translation
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