The ebook Elementary Calculus is based on material originally written by H.J. Keisler. For more information please read the copyright pages.

Home Vectors Vectors and Plane Geometry Examples Example 2: Finding the Vector Eaquation
 
del.icio.us Reddit Facebook StumbleUpon MySpace Twitter Search the VIAS Library  |  Index

Example 2: Finding the Vector Eaquation

10_vectors-91.gif

Figure 10.2,8

 

Find a vector equation for the line in Figure 10.2.8:

2x - 3y = 1.

Step 1

Find two points on the line by taking two values of x and solving for y.

x = 0, 0 - 3y = 1, y = -⅓, (0, -⅓).

x = 1, 2 - 3y = 1, y = ⅓, (1, ⅓).

Step 2

Find a position and direction vector.

P = 0i + (-⅓)j= -⅓j. D = (1 - 0)i + (⅓-(-⅓))j = i + 1j.

Step 3

Use Theorem 1. The vector equation is

X = P + tD = -⅓j + t(i + ⅔j).

 
Home Vectors Vectors and Plane Geometry Examples Example 2: Finding the Vector Eaquation

Last Update: 2006-11-15