> For the complete documentation index, see [llms.txt](https://krjaeh0.gitbook.io/j-log/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://krjaeh0.gitbook.io/j-log/gamedev/gamemath/vector.md).

# Vector

{% hint style="warning" %}
Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document to edit the drawing. You can decompress drawing data with the command palette: "Decompress current Excalidraw file". For more info check in plugin settings under "Saving".
{% endhint %}

## Excalidraw Data

### Text Elements (내용)

* 벡터(Vector)란 무엇일까?
* 방향(Direction)과 크기(Magnitude)를 가진 값
* 2D = (x, y)
  * x
  * y
* 3D = (x, y, z)
  * x
  * y
  * z
* 공간에서 객체의 위치를 나타낼때 쓰인다.
* 예:

```csharp
transform.position = new Vector3(1, 2, 3);
```

* 벡터로 속도를 계산할 수 있다.
  * 속도 벡터
  * 두 위치 간 차이를 시간으로 나눈 값
* 예: 속도 계산

```
속도 v = (Δ위치) / Δ시간
       = ((3, 3) - (1, 2)) / 1초
       = (2, 1) [단위: 유닛/초]
```

* 구성 요소:
  * x = 2
  * y = 1
  * (예시 위치값들: 3, 3, 1, 2 등)
* 초당 (2,1) 속도로 (2,1) 방향으로 이동
* 용어 정리:
  * 속도: 크기
  * 속력: 크기+방향
  * %혼용 금지%
* 이 벡터를 매초 더하면 실제 위치가 그만큼 변한다는 의미
* 이동 벡터
  * 구성 예시:
    * x = 2
    * y = 1
  * 이동 벡터 = 방향 벡터(속도) \* 이동 시간
  * 이동: 현재 위치 + 이동 벡터
* 예:

```
movement = (2, 1) * 1

transform.position + movement 
= (1, 2) + (2, 1)
= (3, 3)
```

* 정규화
  * 벡터의 방향 값은 유지, 크기 값을 1로 만드는 계산
  * 얼마만큼(속도)를 가지는지 상관없이 방향을 전환하려고 할때 유용

### Embedded Files

이미지(원본 경로 그대로 첨부):

\[\[topics/assets/images/스크린샷 2025-06-04 오전 11.17.30.png]]

### Drawing (압축된 Excalidraw JSON)

아래는 원본 압축 JSON 데이터입니다.

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```


---

# Agent Instructions
This documentation is published with GitBook. GitBook is the documentation platform designed so that both humans and AI agents can read, navigate, and reason over technical content effectively. Learn more at gitbook.com.

## Querying This Documentation
If you need additional information that is not directly available in this page, you can query the documentation dynamically by asking a question.

Perform an HTTP GET request on the current page URL with the `ask` query parameter, and the optional `goal` query parameter:

```
GET https://krjaeh0.gitbook.io/j-log/gamedev/gamemath/vector.md?ask=<question>&goal=<endgoal>
```

`ask` is the immediate question: it should be specific, self-contained, and written in natural language.
`goal` is optional and describes the broader end goal you are ultimately trying to accomplish on behalf of the user. GitBook uses it to tailor the answer towards what is most useful for that goal.

The response will contain a direct answer to the question and relevant excerpts and sources from the documentation.

Use this mechanism when the answer is not explicitly present in the current page, you need clarification or additional context, or you want to retrieve related documentation sections.
