Vector in space

Definition — Vector in space

A vector in space is a triple $\vec v = (v_x,v_y,v_z)$. Operations are carried out component by component: the sum by adding the corresponding components, the product by a scalar by multiplying each component.

As in the plane, the vector represents a displacement: the triple $(v_x,v_y,v_z)$ tells how much one moves along each of the three axes.

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Topics: Analytic geometry in space
Concepts: Vector
Skills: Analytic geometry