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Parallelepiped

The slanted 3D brick shape swept out by three vectors that don't all lie in one plane.

A parallelepiped is the solid three vectors enclose when they don't all lie in one plane — a slanted brick, the shape you get by sweeping a parallelogram along a third direction. Its volume is the absolute value of the scalar triple product of the three edge vectors.

Examples

  • Three ropes staked into the ground at three different angles, none flat against each other, sweep out a parallelepiped-shaped tent.

See also

Scalar triple product Cross product
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