当前位置:网站首页>High number_ Chapter 1 space analytic geometry and vector algebra_ Quantity product of vectors
High number_ Chapter 1 space analytic geometry and vector algebra_ Quantity product of vectors
2022-07-07 10:21:00 【ximanni18】
One Definition of quantity product :
Given two vectors α and β, Define their quantity product as
α·β = |α|· |β| cosφ , among φ yes The angle between these two vectors .
The quantity product of two vectors is quantity .
Theorem 2 The relationship between vector perpendicularity and quantity product
vector α And β The necessary and sufficient condition for mutual perpendicularity is α·β=0. Specify that the null principle is perpendicular to any vector .
Two Coordinate representation of quantity product
Because vectors i, j, k It's all unit vectors , And perpendicular to each other , Easy to come by i·i = 1, j·j = 1, k·k=1.
A vector α = {a₁ , a₂ , a₃}, β ={b₁, b₂ , b₃},
α · β = a₁b₁ + a₂b₂ + a₃ b₃. This is the coordinate representation of the quantity product .
From theorem 2 You know , α And β The necessary and sufficient condition for mutual perpendicularity is a₁b₁ + a₂b₂ + a₃ b₃ = 0.
Expressed by the coordinates of the quantity product , The coordinate representation of the cosine of the angle between two vectors can be derived . set up α And β The angle between them is φ, From the definition of quantity product and coordinate representation
3、 ... and Example
边栏推荐
- . Net configuration system
- Deadlock caused by non clustered index in SQL Server
- Google colab loads Google drive (Google drive is used in Google colab)
- Postman interface test III
- Programming features of ISP, IAP, ICP, JTAG and SWD
- ES6中的函數進階學習
- web3.0系列之分布式存储IPFS
- PDF文档签名指南
- 运用tensorflow中的keras搭建卷积神经网络
- ORM -- database addition, deletion, modification and query operation logic
猜你喜欢
The story of Plato and his three disciples: how to find happiness? How to find the ideal partner?
Programming features of ISP, IAP, ICP, JTAG and SWD
Vs code specifies the extension installation location
基于gis三维可视化技术的智慧城市建设
Performance optimization record of the company's product "yunzhujia"
【ORM框架】
ORM--逻辑关系与&或;排序操作,更新记录操作,删除记录操作
Postman interface test IV
对存储过程进行加密和解密(SQL 2008/SQL 2012)
The Himalaya web version will pop up after each pause. It is recommended to download the client solution
随机推荐
Parameter sniffing (2/2)
Appx code signing Guide
The method of word automatically generating directory
Deadlock caused by non clustered index in SQL Server
Introduction to energy Router: Architecture and functions for energy Internet
Before joining the chain home, I made a competitive product analysis for myself
[sword finger offer] 42 Stack push in and pop-up sequence
ORM--逻辑关系与&或;排序操作,更新记录操作,删除记录操作
Wallys/IPQ6010 (IPQ6018 FAMILY) EMBEDDED BOARD WITH ON-BOARD WIFI DUAL BAND DUAL CONCURRENT
ORM -- query type, association query
ORM model -- associated fields, abstract model classes
虚数j的物理意义
[ORM framework]
Become a "founder" and make reading a habit
ORM -- grouping query, aggregation query, query set queryset object properties
Guid primary key
Google colab loads Google drive (Google drive is used in Google colab)
【华为机试真题详解】高矮个子排队
Factorial implementation of large integer classes
Finally, there is no need to change a line of code! Shardingsphere native driver comes out