# Complex nos.

• Feb 19th 2013, 06:17 AM
pranjvas
Complex nos.
hi... there has been a question which always crosses my mind whenever i see complex numbers...
we say..
|x| is defined as squareroot(x^2)
so,
why do we not write |i| as i... (squareroot(i^2)=i)? (note that 'i' means iota)
now u'll say that modulus function has also been defined as distance of the argument(i, in this case) from the origin..., which u say is i unit from the origin.. but why can't be the distance of a point from the origin be 'i'(iota) units ???? whats wrong with it ??? (Nerd)

let me frame an example here..
u draw a graph with Y-axis scale as 1 unit = 3... then in reference to this graph, do we write |3|=1 (as distance from origin=1 unit) ????? the answer is a no.... then why cant we treat iota in the same way?? here also we are defining 1 unit of y-axis as 'i'....
• Feb 19th 2013, 06:38 AM
Plato
Re: Complex nos.
Quote:

Originally Posted by pranjvas
hi... there has been a question which always crosses my mind whenever i see complex numbers...
we say..
|x| is defined as squareroot(x^2)
so,
why do we not write |i| as i... (squareroot(i^2)=i)? (note that 'i' means iota)
now u'll say that modulus function has also been defined as distance of the argument(i, in this case) from the origin..., which u say is i unit from the origin.. but why can't be the distance of a point from the origin be 'i'(iota) units ???? whats wrong with it ??? (Nerd)

let me frame an example here..
u draw a graph with Y-axis scale as i unit = 3... then in reference to this graph, do we write |3|=1 (as distance from origin=1 unit) ????? the answer is a no.... then why cant we treat iota in the same way?? here also we are defining 1 unit of y-axis as 'i'....

Do not post the same question twice under any circumstances.

This is four times. Good bye.
• Feb 19th 2013, 01:56 PM
pranjvas
Re: Complex nos.
hey... i m a new user, nd i didnt know that... :(