Show that the triple scalar product (A X B) · C can be written as




Show also that the product is unaffected by an interchange of the scalar and vector product operations or by a change in the order of A, B, C, as long as they are in cyclic, order; that is, (A X B) · C = A · (B X C) = B · (C X A) = (C X A) · B, etc. why may therefore use the notation ABC to denote the triple scalar product, Finally give a geometric interpretation of ABC by computing the volume of the parallelepiped defined by the three vectors A, B, C.

Transcribed Image Text:

Vvž + vi