Can this represent rotation? Why?


by yicong2011
Tags: imaginary numbers, rotation
yicong2011
yicong2011 is offline
#1
May1-11, 11:44 PM
P: 76
If we say

r2= (x-a)2 + (y-b)2 + (z-c)2

can generally represent displacement,

why can

r2= (x- ia)2 + (y- ib)2 + (z- ic)2

generally represent rotation?

(i2 = -1)


And why

r2= x2 + y2 + (z - ia)2

represents rotation with respect to z axis
Phys.Org News Partner Science news on Phys.org
Cougars' diverse diet helped them survive the Pleistocene mass extinction
Cyber risks can cause disruption on scale of 2008 crisis, study says
Mantis shrimp stronger than airplanes

Register to reply

Related Discussions
What do variables represent, anyway? Set Theory, Logic, Probability, Statistics 2
How does one represent this in math.... Precalculus Mathematics Homework 2
What does this represent ?? General Math 3
How do I represent this relationship Precalculus Mathematics Homework 4
Integral - what does it represent? Calculus & Beyond Homework 6