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math: add colinear points and vevctor details

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eggy 2021-04-25 12:30:28 -04:00
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@ -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.
<img src="/resources/images/vector-parallelogram.png" width=700>(Source: Kognity)</img>
## Resources
- [IB Math Analysis and Approaches Syllabus](/resources/g11/ib-math-syllabus.pdf)