Vector

Page dedicated to knowledge related to vectors.

A vector is a geometric object defined by:

• magnitude
• direction
• orientation

A vector is frequently represented by an arrow connecting an inital point A to a point B.

Cross product

Definition

The cross product u x v is defined as a vector w that is orthogonal to both u and v, with a given direction given by the right-hand rule (sens direct). The cross product is defined by the formula

u x v = ||u|| * ||v|| * sin(θ) * w

Properties

• Two vectors collinear have a nul cross product
• Two vectors are orthogonal if and only if (si et seulement si) the magnitude of their cross product is equal to the product of their magnitudes