That is not the actual direction.
It is considdered as virtaul direction which cannot be sustained.
This direction is set defined by us for the ease of calculating the answer.
We never deal it in terms if i cap or j cap.
						

							
@ piyush 
electric current have magnitude and direction but that is not the sufficient criteriaa to classify any quantity into scaler and vector . 
electric current doesnot obey vector law of addition and multiplication . 
so, due t that its a scaler quantity , not a vector    qanitity . 
HOPE IT CLEARS YOUR DOUBT 
ALL THE BES .
						

							
the formula of electric current is V/R and these both are a scaler quantities and two scalar quantities can never give a vector quantity that,s why electic current is a scaler quantity.
						

							
While we define vectors ,we say that the quantity should follow vector algebra,but current doesnot follow vector algebra ,hence it is a scalar quantity.
						

							
We know that  current density=current/area .      And current density and area both are vector   and  product of two vector quantity  is scalar it is proved statement