SA

$\require{cancel}\require{extpfeil}\newcommand{\definiteintegral}[4]{\int_{#1}^{#2}\,#3\,d#4} \newcommand{\myequation}[2]{#1\amp =#2} \newcommand{\indefiniteintegral}[2]{\int#1\,d#2} \newcommand{\testingescapedpercent}{ \% } \newcommand{\bvec}{{\mathbf b}} \newcommand{\vvec}{{\mathbf v}} \newcommand{\class}[2][\sim]{\lbrack #2\rbrack_{#1}} \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&} \definecolor{fillinmathshade}{gray}{0.9} \newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}} \newcommand{\sfrac}[2]{{#1}/{#2}} $

Instructions.

View Source for instructions

<instructions>
  <p>
    This interactive shows <m>\vec{r}_{AB}</m>,
    the displacement vector from <m>\vec{A}</m> to <m>\vec{B}</m> and the corresponding unit displacement vector <m>\lambda_{AB}</m>.
  </p>
  <p>
    You may change <m>\vec{A}</m> and <m>\vec{B}</m> by moving the red and blue dots.
    Click the dot to switch between <m>x</m>-<m>y</m> mode and <m>z</m> mode.
    Coordinates of <m>\vec{A}</m> and <m>\vec{B}</m> can also be entered into the table directly.
  </p>
</instructions>

This interactive shows $\vec{r}_{AB}\text{,}$ the displacement vector from $\vec{A}$ to $\vec{B}$ and the corresponding unit displacement vector $\lambda_{AB}\text{.}$

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You may change $\vec{A}$ and $\vec{B}$ by moving the red and blue dots. Click the dot to switch between $x$-$y$ mode and $z$ mode. Coordinates of $\vec{A}$ and $\vec{B}$ can also be entered into the table directly.

🔗