by vector addition.
< 5 m, 270 degrees> + < 8 cm, 90 degrees>
=< 500 cos 270, 500 sin 270 > + < 8 cos 90, 8 sin 90 >
=< 0, −500 > + < 0, −8 >
=< 0, −492 > cm
The so-called parallelogram law lays forth the guidelines for adding two or more vectors together. By aligning the two vectors A and B head to tail and drawing the vector from the free tail to the free head, the vector sum A+B is created. If A=(a 1,a 2,...,a n) and B=(b 1,b 2,...,b n), then vector addition can be done in Cartesian coordinates by adding the respective components of the vectors.
A+B=(a 1+b 1,a 2+b 2,...,a n+b n).
The Wolfram Language uses a plus symbol to denote vector addition, as in a1, a2,..., an+b1, b2,..., bn
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