Mathematical Vector

Vector math concepts - addition rules, unit vectors, and coordinate representation.

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A vector, in its simplest form, is a mathematical entity defined by both magnitude and direction. In geometry and natural sciences, vectors often represent directed segments in Euclidean space or on a plane.

The triangle rule for vector addition:

Vector Add Triangle

The parallelogram rule for the addition of vectors:

Vector Add

The unit vectors directed along the coordinate axes Ox and Oy are denoted as i and j, respectively.

Vector

If a = x * i + y * j, then the numbers x and y are called vector coordinates.

Vector IJ