Vector components.

Version 0.1 [8-4-07]
To do:
(i) Add perpendiculars?


Tip of the vector V and its components

a=5.71875+2.265625*i

A=abs(a),T=atan([Im([a])/Re([a])])

A_1=A*cos(T),A_2=A*sin(T)

V=vector(A_1,A_2)

O,V

Unit vectors and origin:

I=vector(1,0),J=vector(0,1),O=vector(0,0)

O,I

O,J

x and y components:

O,A_1*I

O,A_2*J

W=A_1*I+A_2*J

O,W

p=slider([0,1])

P=2*pi*p

M=vector(cos(P),sin(P)),N=vector(-sin(P),cos(P))

O,M

O,N

B_1=A_1*cos(P)+A_2*sin(P),B_2=-(A_1*sin(P))+A_2*cos(P)

O,B_1*M

O,B_2*N





Author: David A. Craig <http://web.lemoyne.edu/~craigda/>

Graph of the formula

This file was created by Graphing Calculator 3.5.
Visit Pacific Tech to download the helper application to view and edit these equations live.