From 5727605c4011fe198b16d530c572c71212945457 Mon Sep 17 00:00:00 2001 From: Andrew Lorimer Date: Tue, 25 Jun 2019 14:52:58 +1000 Subject: [PATCH] [spec] start vector functions --- spec/vectors.md | 8 ++++++++ 1 file changed, 8 insertions(+) diff --git a/spec/vectors.md b/spec/vectors.md index 932f614..3a940e3 100644 --- a/spec/vectors.md +++ b/spec/vectors.md @@ -185,3 +185,11 @@ i![](graphics/vectors-3d.png) Parametric equation of line through point $(x_0, y_0, z_0)$ and parallel to $a\boldsymbol{i} + b\boldsymbol{j} + c\boldsymbol{k}$ is: \begin{equation}\begin{cases}x = x_o + a \cdot t \\ y = y_0 + b \cdot t \\ z = z_0 + c \cdot t\end{cases}\end{equation} + +## Vector functions + +$$\boldsymbol{r}(t)=x\boldsymbol{i}+y\boldsymbol{y}$$ + +- If $\boldsymbol{r}(t)$ represents position with time, then the graph of endpoints of $\boldsymbol{r}(t)$ represents the Cartesian path. +- Domain of $\boldsymbol{r}(t)$ is the range of $x(t)$ +- Range of $\boldsymbol{r}(t)$ is the range of $y(t)$ -- 2.47.1