Section 8.6: Vectors and Parametric Equations
Vector equations and parametric equations allow us to model the relative position of objects dependent upon their velocities at a given moment in time.
Write a vector equation describing a line passing through pt (x1 , y1) and parallel to vector a: <a1 , a2>
Vector Equation: <x ­ x1 , y ­ y1> = t<a1 , a2>
Example: Write the vector equation describing the line passing through P(3, ­9) and parallel to a=<­1, 2>
Vector equation: ________________
Parametric equations:____________, ___________
Table of values:
Graph:
1
The ordered pairs represent the position of the objects at various times.
Given two parametric equations, write the equation of the line in slope intercept form.
x = ­2 + t
y = 4 ­ 3t
2
3