How to establish rectangular coordinate system in space

About how to establish rectangular coordinate system in space

Preface ： I didn't learn math well before , Many pits have been buried now , Now let's fill in the foundation of Mathematics , Write this article for future review

Definition of space rectangular coordinate system ： Select any point in the space O, Over time O Make three mutually perpendicular number axes Ox,Oy,Oz, They all use O Is the origin and has the same length unit . These three axes are called x Axis （ The horizontal axis ）,y Axis （ The vertical axis ）,z Axis （ Vertical axis ）, Collectively referred to as axes .

Set up a space rectangular coordinate system

Their positive direction satisfies the right-hand rule , Hold it with your right hand z Axis , Four fingers point x Positive axis , Then bend four fingers , from x The shaft rotates in the positive direction π/2 The angle of is y Positive axis

The coordinate system formed by the right-hand rule is called the right-hand space rectangular coordinate system . Corresponding to it is the left-handed space rectangular coordinate system

Left 、 Left handed coordinate system

Both left-handed and right-handed systems are one of the methods to specify the rectangular coordinate system in space . In this coordinate system x、y、z The positive direction of the axis is specified in this way ： thumb 、 Index finger and middle finger form each other 90°, Point your thumb at x The positive direction of the axis , Index finger pointing y The positive direction of the shaft , The direction of the middle finger is z The positive direction of the axis

• Thumb indication ：x Axis
• Index finger representation ：y Axis
• The middle finger means ：z Axis

If it is Right hand system , Then the middle finger points to its own side . If it is Left-handed system , Then the middle finger points forward

Point to yourself . If it is Left-handed system , Then the middle finger points forward