Vector Addition

Vector addition is the operation of adding two or more vectors together into a vector sum.

ParallelogramLaw

The so-called parallelogram law gives the rule for vector addition of two or more vectors. For two vectors A and B, the vector sum A+B is obtained by placing them head to tail and drawing the vector from the free tail to the free head. In Cartesian coordinates, vector addition can be performed simply by adding the corresponding components of the vectors, so if A=(a_1,a_2,...,a_n) and B=(b_1,b_2,...,b_n),

 A+B=(a_1+b_1,a_2+b_2,...,a_n+b_n).

Vector addition is indicated in the Wolfram Language using a plus sign, e.g., {a1, a2, ..., an}+{b1, b2, ..., bn}.

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