Parametric Equations of a Line - Maple Programming Help

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Parametric Equations of a Line

Main Concept

In order to find the vector and parametric equations of a line, you need to have either:

1. 

two distinct points on the line    

or

2. 

one point and a directional vector.

 

A directional vector, m, where m = a, b, is a nonzero vector parallel to the line. The directional vector can be represented by a vector with its tail at the origin and its head at point (a , b).  

 

In the first case, you can obtain a directional vector by subtracting the two given points.

 

 

 

The x and y components of vector m are called direction numbers. 

 

Vector Parametric Equation:

Scalar Parametric Equations:

r = r0 + t  m

x = x0 + t  a 

y = y0 + t b , t R

r0  is the vector connecting the origin to a point x0 , y0.

m  is the directional vector with the directional numbers a ,b.

 

Click or drag the directional vector and a point on the line. Select the check box to show the resulting line.

Vector Parametric Equation:

Scalar Parametric Equations:

 

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