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Question: Answered & Verified by Expert
The scalar triple product $(\vec{A} \times \vec{B}) \cdot \vec{C}$ of three vectors
$\vec{A}, \vec{B}, \vec{C}$ determines
MathematicsVector AlgebraNDANDA 2008 (Phase 2)
Options:
  • A Volume of a parallelopiped
  • B Volume of a tetrahedron
  • C Volume of an ellipsoid
  • D None of the above
Solution:
2930 Upvotes Verified Answer
The correct answer is: Volume of a parallelopiped
The scalar triple product $(\overrightarrow{\mathbf{A}} \times \overrightarrow{\mathbf{B}}) \cdot \overrightarrow{\mathbf{C}}$ of three vectors
$\overrightarrow{\mathbf{A}}, \overrightarrow{\mathbf{B}}, \overrightarrow{\mathbf{C}}$ determines volume of a parallelopiped.

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