Question

list and explain three ways of representing position​

Answer 1

Explanation:

In geometry, a position or position vector, also known as location vector or radius vector, is a Euclidean vector that represents the position of a point P in space in relation to an arbitrary reference origin O. Usually denoted x, r, or s, it corresponds to the straight line segment from O to P. In other words, it is the displacement or translation that maps the origin to P:[1]

Radius vector {\displaystyle {\vec {r}}}{\vec {r}} represents the position of a point {\displaystyle \mathrm {P} (x,y,z)}{\displaystyle \mathrm {P} (x,y,z)} with respect to origin O. In Cartesian coordinate system {\displaystyle {\vec {r}}=x\,{\hat {e}}_{x}+y\,{\hat {e}}_{y}+z\,{\hat {e}}_{z}}{\displaystyle {\vec {r}}=x\,{\hat {e}}_{x}+y\,{\hat {e}}_{y}+z\,{\hat {e}}_{z}}.

{\displaystyle \mathbf {r} ={\overrightarrow {OP}}}{\displaystyle \mathbf {r} ={\overrightarrow {OP}}}

The term "position vector" is used mostly in the fields of differential geometry, mechanics and occasionally vector calculus.

Answer 2

Answer:

Given a point q = (-10, 5, 3), determine the position vector of point q, R. Then, determine the magnitude of R. Given the point q, we can determine its position vector: R = -10i + 5j -3k