Position vector

The position vector gives the location of a point P as a vector from the origin O, built from its coordinates along the three perpendicular axes. Its length, the distance from the origin, is the square root of x squared plus y squared plus z squared.

\mathbf{r}=x\mathbf{i}+y\mathbf{j}+z\mathbf{k}

What the symbols mean

position vector from the origin to the point P (m)
coordinate of P along the x-axis (m)
coordinate of P along the y-axis (m)
coordinate of P along the z-axis (m)
unit vector along the x-axis
unit vector along the y-axis
unit vector along the z-axis

About this formula

  • FieldMathematics
  • TopicVector algebra
  • LevelHigh school
  • Also calledradius vector, location vector, position vector in Cartesian coordinates, vector from origin to point, position
  • SourceWikidata Q192388

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