#include<bits/stdc++.h>

#define debug(x) cerr << #x << ": " << x << '\n'
#define debugArray(x,n) for(long long hoge = 0; (hoge) < (n); ++ (hoge)) cerr << #x << "[" << hoge << "]: " << x[hoge] << '\n'
using namespace std;

typedef long long ll;
typedef unsigned long long ull;
typedef tuple<ll,ll> Pll;
typedef vector<ll> vll;
const ll INF = LLONG_MAX/10;
const ll MOD = 1e9+7;


struct HLDecomposition{
private:
    int t;
    void dfs_size(int v=0){
        size[v]=1;
        for(int& u:g[v]){
            if(par[u]>=0){
                swap(u,g[v].back());
                if(u==g[v].back())continue;
            }
            par[u]=v;
            dfs_size(u);
            size[v]+=size[u];
            if(size[u]>size[g[v][0]]){
                swap(u,g[v][0]);
            }
        }
    }
    void dfs_hld(int v=0){
        in[v] = t++;
        inv[in[v]]=v;
        for(int& u:g[v]){
            if(par[u]!=v)continue;
            head[u]=(u==g[v][0]?head[v]:u);
            dfs_hld(u);
        }
        out[v]=t;
    }
public:
    int V;
    vector<vector<int>> g;
    vector<int> dep,par,head,size,inv;
    vector<int> in,out;
    HLDecomposition(int size_)
    :t(0),V(size_),g(V),dep(V,0),par(V,-1),head(V),size(V),inv(V),in(V),out(V){}

    void add_edge(int u,int v){
        g[u].push_back(v);
        g[v].push_back(u);
    }
    void build(int root=0){
        par[root]=0;
        dfs_size(root);
        par[root]=-1;
        dfs_hld(root);
    }

    int lca(int u,int v){
        while(1){
            if(in[u]>in[v])swap(u,v);
            if(head[u]==head[v])return u;
            v=par[head[v]];
        }
    }

    int distance(int u,int v){
        return dep[u]+dep[v]-2*dep[lca(u,v)];
    }

    int operator[](const int &k){
        return in[k];
    }
};


template <typename T,typename E>
class LazySegmentTree{
private:
    using F = function<T(T,T)>;
    using G = function<T(T,E)>;
    using H = function<E(E,E)>;
    int n,height;
    F f;
    G g;
    H h;
    T ti;
    E ei;
    vector<T> dat;
    vector<E> laz;
    inline T reflect(int k){
        return laz[k]==ei?dat[k]:g(dat[k],laz[k]);
    }
    inline void eval(int k){
        if(laz[k]==ei) return;
        laz[(k<<1)|0]=h(laz[(k<<1)|0],laz[k]);
        laz[(k<<1)|1]=h(laz[(k<<1)|1],laz[k]);
        dat[k]=reflect(k);
        laz[k]=ei;
    }
    inline void thrust(int k){
        for(int i=height;i;i--) eval(k>>i);
    }
    inline void recalc(int k){
        while(k>>=1)
            dat[k]=f(reflect((k<<1)|0),reflect((k<<1)|1));
    }
public:
    LazySegmentTree(F f,G g,H h,T ti,E ei):
    f(f),g(g),h(h),ti(ti),ei(ei){}

    void init(int n_){
        n=1;height=0;
        while(n<n_) n<<=1,height++;
        dat.assign(2*n,ti);
        laz.assign(2*n,ei);
    }
    void build(const vector<T> &v){
        int n_=v.size();
        init(n_);
        for(int i=0;i<n_;i++) dat[n+i]=v[i];
        for(int i=n-1;i;i--)
            dat[i]=f(dat[(i<<1)|0],dat[(i<<1)|1]);
    }
    void update(int a,int b,E x){
        thrust(a+=n);
        thrust(b+=n-1);
        for(int l=a,r=b+1;l<r;l>>=1,r>>=1){
            if(l&1) laz[l]=h(laz[l],x),l++;
            if(r&1) --r,laz[r]=h(laz[r],x);
        }
        recalc(a);
        recalc(b);
    }
    void set_val(int a,T x){
        thrust(a+=n);
        dat[a]=x;laz[a]=ei;
        recalc(a);
    }
    T query(int a,int b){
        thrust(a+=n);
        thrust(b+=n-1);
        T vl=ti,vr=ti;
        for(int l=a,r=b+1;l<r;l>>=1,r>>=1) {
            if(l&1) vl=f(vl,reflect(l++));
            if(r&1) vr=f(reflect(--r),vr);
        }
        return f(vl,vr);
    }
    T operator[](const int k){return query(k,k+1);}
};


int main(){
  cin.tie(0);
  ios::sync_with_stdio(false);
  ll N;cin>>N;
  vll S(N);
  for(ll i=0;i<N;i++){
    cin>>S[i];
  }
  vll C(N);
  for(ll i=0;i<N;i++){
    cin>>C[i];
  }
  HLDecomposition hld(N);
  for(ll i=0;i<N-1;i++){
    ll A,B;cin>>A>>B;A--;B--;
    hld.add_edge(A,B);
  }
  hld.build();
  auto f=[](Pll a,Pll b){return make_pair((get<0>(a)+get<0>(b))%MOD,(get<1>(a)+get<1>(b))%MOD);};
  auto g=[](Pll a,ll b){return make_pair((get<0>(a)+get<1>(a)*b%MOD)%MOD,get<1>(a));};
  auto h=[](ll a,ll b){return a+b;};
  LazySegmentTree<Pll,ll> seg(f,g,h,make_tuple(0,0),0);
  seg.init(N);
  for(ll i=0;i<N;i++){
    seg.set_val(hld[i],make_tuple(S[i],C[i]));
  }
  ll Q;cin>>Q;
  for(ll q=0;q<Q;q++){
    ll op,X,Y;cin>>op>>X>>Y;X--;Y--;
    if(op){
      ll u=X,v=Y;
      ll ans=0;
      while(1){
        if(hld[u]>hld[v])swap(u,v);
        ans =(ans+get<0>(seg.query(max(hld[hld.head[v]],hld[u]),hld[v]+1)))%MOD;
        if(hld.head[u]!=hld.head[v])v=hld.par[hld.head[v]];
        else break;
      }
      cout<<ans<<endl;
    }else{
      ll Z;cin>>Z;
      ll u=X,v=Y;
      while(1){
        if(hld[u]>hld[v])swap(u,v);
        seg.update(max(hld[hld.head[v]],hld[u]),hld[v]+1,Z);
        if(hld.head[u]!=hld.head[v])v=hld.par[hld.head[v]];
        else break;
      }
    }
  }
  return 0;
}