I have seen an answer of vector unit in my book, but sumthing i don understand about it.

the situation is sumthing like this:
AB = (2i + 2J)/(8^0.5)
but y the answer symplify the answer to
AB = (i+j)/(2^0.5)
the magnitude is different in this 2 answer right?

Question

I have seen an answer of vector unit in my book, but sumthing i don understand about it. 

the situation is sumthing like this:
AB = (2i + 2J)/(8^0.5)
but y the answer symplify the answer to 
AB = (i+j)/(2^0.5)
the magnitude is different in this 2 answer  right?

experimentx · Answer

(2i/(8^0.5) + 2J/(8^0.5))

8^0.5 = 2sqrt(2)

so you have i/sqrt(2)+j/sqrt(2)

anonymous · Answer

i know how to simplyfy it, but isn't different magnitude mean different vector?

experimentx · Answer

for magnitue

( (1/sqrt(2))^2 + (1/sqrt(2))^2)^(1/2) = 1

experimentx · Answer

yeah .. but the magnitude is same for these two vectors

anonymous · Answer

oh i get, miss-concept a bit

experimentx · Answer

on simplification ... magnitude of vector does not change