Position vectors
A position vector shows the displacement to the endpoint from the origin.
For example, the position vector of \vec{a} is
\vec{a} = \begin{pmatrix} a_1 \\ a_2 \\ a_3 \end{pmatrix},
where a_1, a_2, and a_3 are the coordinates of the endpoint
of the vector \vec{a}.
| Question | Answer |
|---|
| What is a position vector? | It shows the displacement to the endpoint from the origin. |
| How is the position vector \vec{a} expressed in component form? | \vec{a} = \begin{pmatrix} a_1 \\ a_2 \\ a_3 \end{pmatrix}, where a_1, a_2, and a_3 are the coordinates of the endpoint of \vec{a}. |