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casting a character vector as an object

Greetings,

I need to compare the ratios of vector sizes like this:

length(object1) / length(object2)

I have many vector objects to compare, so I would like to do it in a loop. 
I created a loop like this:


mat1 <- matrix()

for (i in 1:6)
{
   for (j in 1:6)
     {
       
       mat1[i,j] <- length( paste("object",i,sep="")) /
(paste("object",j,sep="") )
       
     }
}


The loop does not work, however, because   paste("object",i,sep="")  creates
a character vector of length 1.  Is there a way to cast this as an object so
that it can be evaluated in the loop?

Thanks in advance

Jesse