Volume of a Parallelepiped Calculator - Multi-Tools

Volume of a Parallelepiped Calculator

Calculate the volume of a parallelepiped using three vectors.

Vector A
Vector B
Vector C
Parallelepiped Visualization
How it works

The volume of a parallelepiped is calculated using the scalar triple product:

V = |A · (B × C)|

Where:

  • A, B, and C are the three vectors
  • B × C is the cross product of vectors B and C
  • A · (B × C) is the dot product of vector A with the cross product
  • | | represents the absolute value

The volume represents the magnitude of the scalar triple product, which gives the volume of the parallelepiped formed by the three vectors.

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