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4.3. Straight line on a plane

Lecture



Let the PDK set on the plane. The equation   4.3.  Straight line on a plane sets a line on a plane and is called the general equation of a line . To write a general equation of a straight line, you need to know the normal vector.   4.3.  Straight line on a plane (the normal of a line is a straight line perpendicular to this straight line) and one point of a straight line   4.3.  Straight line on a plane

  4.3.  Straight line on a plane

Where   4.3.  Straight line on a plane

If you know the general equation of a line, then you can find the normal equation of a line:

  4.3.  Straight line on a plane

Where   4.3.  Straight line on a plane

The plus sign or minus sign is chosen so that p > 0. Here φ is the angle between the normal vector n and the axis O x .

If the normal equation of a straight line is known, then it is easy to find the distance ρ from the point   4.3.  Straight line on a plane to this straight:

  4.3.  Straight line on a plane

 
created: 2014-09-20
updated: 2021-03-13
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Linear Algebra and Analytical Geometry

Terms: Linear Algebra and Analytical Geometry