From 44d2a1694592dec4ef7fd86f0e815db1bc10bb6d Mon Sep 17 00:00:00 2001 From: eggy Date: Sun, 25 Apr 2021 12:30:28 -0400 Subject: [PATCH] math: add colinear points and vevctor details --- docs/mcv4u7.md | 11 ++++++++++- 1 file changed, 10 insertions(+), 1 deletion(-) diff --git a/docs/mcv4u7.md b/docs/mcv4u7.md index f93763c..36f6a6b 100644 --- a/docs/mcv4u7.md +++ b/docs/mcv4u7.md @@ -323,7 +323,12 @@ The special **zero vector** $\vec{0}$ is a vector of undefined direction and zer Vectors with the same magnitude but opposite directions are equal to one another except one is the negative of the other. -**Colinear** vectors are those that parallel with one another — that is, with identical or opposite directions. +**Colinear** vectors are those that parallel with one another — that is, with identical or opposite directions. Vectors that are colinear must also be **scalar multiples** of each other: +$$\vec{u}=k\vec{v}$$ + +**Position** vectors are vectors where the initial point is at the origin — where the terminal point is $A$, a position vector can be written as $\vec{OA}$. + +**Colinear points** are points that lie on the same straight line. If two colinear vectors that share a common point can be formed between three points, those points are colinear. ### Unit vector @@ -369,6 +374,10 @@ In general, the x-plane is the one in and out of the page, the y-plane left and Please see [SL Physics 1#Adding/subtracting vectors diagrammatically](/sph3u7/#addingsubtracting-vectors-diagrammatically) for more details. +The sum of two vectors can also be solved diagrammatically by envisioning the head-to-tail as a parallelogram. + +(Source: Kognity) + ## Resources - [IB Math Analysis and Approaches Syllabus](/resources/g11/ib-math-syllabus.pdf)