Scalar Triple Product Formula

1. Scalar triple product in terms of components.

Scalar triple product in terms of components

2. The condition is necessary.

The condition is necessary

3. The condition is sufficient.

The condition is sufficient

Note :

The condition is sufficient

4. Right – Hand and Left – Handed system of three vectors.

Right - Hand and Left - Handed system of three vectors

5. Volume of tetrahedron in terms of the position vectors of its four vertices.

Volume of tetrahedron in terms of the position vectors of its four vertices

6. Scalar product of four vectors.

Scalar product of four vectors

7. Lagrange’s identity.

Lagrange's identity

8. Geometrical interpretation.

Geometrical interpretation

9. Linear relation connecting four vectors.

Linear relation connecting four vectors

10. Reciprocal system of vectors.

Reciprocal system of vectors

11. Properties of reciprocal system of vectors.

Properties of reciprocal system of vectors

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