A body is in equilibrium under the action of three force vectors vector a, vector b and vector c similtaneously. show that vector a× vector b=vector b× vector c=vector c× vectora.

A body is in equilibrium under the action of three force vectors vecto

1.	A body is in equilibrium under the action of three force vectors vector a, vector b and vector c similtaneously. show that vector a× vector b=vector b× vector c=vector c× vectora.
Answer» Start with the given information: A+B+C=0A+B+C=0. Cross with one of the vectors, say AA. Note that A×A=0A×A=0. Note that B×A=−A×BB×A=−A×B. Conclude that A×B=C×AA×B=C×A. Similarly for the other equations. A geometric argument: The three vectors are the sides of a TRIANGLE in order. The area of the triangle is half the cross PRODUCT of two of them in that order.

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A body is in equilibrium under the action of three force vectors vector a, vector b and vector c similtaneously. show that vector a× vector b=vector b× vector c=vector c× vectora.

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