There is currently no direct function to take the norm of a 2D array by dimension. The easiest way would probably be to do either of the 2 functions below:
julia> A = rand(5,4);
julia> f1(A,d=1) = sqrt.(sum(abs2,A,d))
f1 (generic function with 1 method)
julia> f2(A) = [vecnorm(A[:,i]) for i=1:size(A,2)]
f2 (generic function with 1 method)
julia> @btime f1($A)
128.103 ns (2 allocations: 224 bytes)
1×4 Array{Float64,2}:
1.08137 1.1315 1.23828 1.35529
julia> @btime f2($A)
327.377 ns (11 allocations: 736 bytes)
4-element Array{Float64,1}:
1.08137
1.1315
1.23828
1.35529
f1
is faster because it acts mostly in place. It also allows you to change the dimension more easily.