From: Andrew Lorimer Date: Mon, 4 Mar 2019 00:34:48 +0000 (+1100) Subject: [spec] render vectors cheatsheet X-Git-Tag: yr12~226 X-Git-Url: https://git.lorimer.id.au/notes.git/diff_plain/e030c9908b972635590cf883bebc23553b564387?hp=d7d5be9aa432f163c9fc958491b3d57f7763571d [spec] render vectors cheatsheet --- diff --git a/spec/vectors-ref.pdf b/spec/vectors-ref.pdf new file mode 100644 index 0000000..bd98635 Binary files /dev/null and b/spec/vectors-ref.pdf differ diff --git a/spec/vectors.md b/spec/vectors.md index ccdec2f..40c41f3 100644 --- a/spec/vectors.md +++ b/spec/vectors.md @@ -145,7 +145,7 @@ Vector resolute of $\vec{a}$ perpendicular to $b$ is equal to $\vec{a} - \vec{u} ## Vector proofs **Concurrent lines -** $\ge$ 3 lines intersect at a single point -**Collinear points -** $\ge$ 3 points lie on the same line ($\implies \vec{OC} = \lambda \vec{OA} + \mu \vec{OB}$ where $\lambda + \mu = 1$. If $C$ is between $\vec{AB}$, then $0 \lt \mu \lt 1$) +**Collinear points -** $\ge$ 3 points lie on the same line ($\implies \vec{OC} = \lambda \vec{OA} + \mu \vec{OB}$ where $\lambda + \mu = 1$. If $C$ is between $\vec{AB}$, then $0 < \mu < 1$) Useful vector properties: