## 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

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