Question
Thu March 11, 2010 By:

vectors

Expert Reply
Thu March 11, 2010

This is Triangle law of vectors

If two vectors are represented by two sides of a triangle in sequence, then third closing side of the triangle, in the opposite direction of the sequence, represents the sum (or resultant) of the two vectors in both magnitude and direction.

AB+BC=AC

Adding vector CA on either sides of the equation,

AB+BC+CA=AC+CA

The right hand side of the equation is vector sum of two equal and opposite vectors, which evaluates to zero

AB+BC+CA=0

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