#include <bits/stdc++.h>
using namespace std;
#define rep(i, n)  for(long long i=0;i<(long long)(n);i++)
#define REP(i,k,n) for(long long i=k;i<(long long)(n);i++)
#define all(a) a.begin(),a.end()
#define rsort(a) {sort(all(a));reverse(all(a));}
#define pb emplace_back
#define eb emplace_back
#define lb(v,k) (lower_bound(all(v),(k))-v.begin())
#define ub(v,k) (upper_bound(all(v),(k))-v.begin())
#define fi first
#define se second
#define pi M_PI
#define PQ(T) priority_queue<T>
#define SPQ(T) priority_queue<T,vector<T>,greater<T>>
#define dame(a) {out(a);return 0;}
#define decimal cout<<fixed<<setprecision(15);
#define dupli(a) {sort(all(a));a.erase(unique(all(a)),a.end());}
typedef long long ll;
typedef pair<ll,ll> P;
typedef tuple<ll,ll,ll> PP;
typedef tuple<ll,ll,ll,ll> PPP;
typedef multiset<ll> S;
using vi=vector<ll>;
using vvi=vector<vi>;
using vvvi=vector<vvi>;
using vvvvi=vector<vvvi>;
using vp=vector<P>;
using vvp=vector<vp>;
using vpp=vector<PP>;
using vb=vector<bool>;
using vvb=vector<vb>;
using vvvb=vector<vvb>;
const ll inf=1001001001001001001;
const ll INF=1001001001;
const ll mod=1000000007;
const double eps=1e-10;
template<class T> bool chmin(T&a,T b){if(a>b){a=b;return true;}return false;}
template<class T> bool chmax(T&a,T b){if(a<b){a=b;return true;}return false;}
template<class T> void out(T a){cout<<a<<'\n';}
template<class T> void outp(T a){cout<<'('<<a.fi<<','<<a.se<<')'<<'\n';}
template<class T> void outvp(T v){rep(i,v.size())cout<<'('<<v[i].fi<<','<<v[i].se<<')';cout<<'\n';}
template<class T> void outvvp(T v){rep(i,v.size())outvp(v[i]);}
template<class T> void outv(T v){rep(i,v.size()){if(i)cout<<' ';cout<<v[i];}cout<<'\n';}
template<class T> void outvv(T v){rep(i,v.size())outv(v[i]);}
template<class T> bool isin(T x,T l,T r){return (l)<=(x)&&(x)<=(r);}
template<class T> void yesno(T b){if(b)out("yes");else out("no");}
template<class T> void YesNo(T b){if(b)out("Yes");else out("No");}
template<class T> void YESNO(T b){if(b)out("YES");else out("NO");}
template<class T> void noyes(T b){if(b)out("no");else out("yes");}
template<class T> void NoYes(T b){if(b)out("No");else out("Yes");}
template<class T> void NOYES(T b){if(b)out("NO");else out("YES");}
void outs(ll a,ll b){if(a>=inf-100)out(b);else out(a);}
ll gcd(ll a,ll b){if(b==0)return a;return gcd(b,a%b);}
ll modpow(ll a,ll b){ll res=1;a%=mod;while(b){if(b&1)res=res*a%mod;a=a*a%mod;b>>=1;}return res;}
ll inv(ll a){return modpow(a,mod-2);}
ll ans,md,z;
class segtree{
    vi seg,lazy,c;ll N=1;
    ll f(ll a,ll b){return (a+b)%mod;}
public:
    segtree(vi&v,vi&C){
        c=C;
        ll n=v.size();
        while(N<n)N*=2;
        seg=vi(N*2-1);lazy=vi(N*2-1);c=vi(N*2-1);
        rep(i,n)seg[i+N-1]=v[i];
        rep(i,n)c[i+N-1]=C[i];
        for(int i=N-2;i>=0;i--)seg[i]=f(seg[i*2+1],seg[i*2+2]);
        for(int i=N-2;i>=0;i--)c[i]=f(c[i*2+1],c[i*2+2]);
    }
    void eval(ll k,ll l,ll r){
        seg[k]=f(seg[k],lazy[k]*c[k]);
        if(r-l>1){
            lazy[k*2+1]=f(lazy[k*2+1],lazy[k]);
            lazy[k*2+2]=f(lazy[k*2+2],lazy[k]);
        }
        lazy[k]=0;
    }
    void query(ll a,ll b,ll k=0,ll l=0,ll r=-1){
        if(r==-1)r=N;
        eval(k,l,r);
        if(a<=l&&r<=b){
            if(md)ans+=seg[k];
            else{
                lazy[k]=f(lazy[k],z);
                eval(k,l,r);
            }
        }
        else if(r<=a||b<=l)return;
        else{
            query(a,b,k*2+1,l,(l+r)/2);
            query(a,b,k*2+2,(l+r)/2,r);
            seg[k]=f(seg[k*2+1],seg[k*2+2]);
        }
    }
};
int main(){
    ll n;cin>>n;
    vi v(n),c(n);rep(i,n)cin>>v[i];rep(i,n)cin>>c[i];
    vvi g(n);
    rep(i,n-1){
        ll a,b;cin>>a>>b;a--;b--;
        g[a].pb(b);g[b].pb(a);
    }
    vi par(n),head(n),id(n),sz(n,1);
    ll cnt=0;
    function<void(ll,ll)> init=[&](ll i,ll p){
        par[i]=p;
        ll ma=0;
        rep(j,g[i].size())if(g[i][j]!=p){
            init(g[i][j],i);
            sz[i]+=sz[g[i][j]];
            if(chmax(ma,sz[g[i][j]]))swap(g[i][j],g[i][0]);
        }
    };
    init(0,-1);
    function<void(ll,ll)> HLD=[&](ll i,ll p){
        id[i]=cnt++;
        rep(j,g[i].size())if(g[i][j]!=p){
            if(j)head[g[i][j]]=g[i][j];
            else head[g[i][j]]=head[i];
            HLD(g[i][j],i);
        }
    };
    HLD(0,-1);
    vi V(n),C(n);
    rep(i,n)C[id[i]]=c[i];rep(i,n)V[id[i]]=v[i];
    segtree seg(V,C);
    function<void(ll,ll)> query=[&](ll a,ll b){
        ll A=head[a],B=head[b];
        if(A==B)seg.query(min(id[a],id[b]),max(id[a],id[b])+1);
        else if(id[A]<id[B]){
            seg.query(id[B],id[b]+1);
            query(a,par[B]);
        }
        else{
            seg.query(id[A],id[a]+1);
            query(par[A],b);
        }
    };
    ll q;cin>>q;
    rep(qq,q){
        cin>>md;
        if(md){
            ans=0;
            ll x,y;cin>>x>>y;x--;y--;
            query(x,y);
            out(ans%mod);
        }
        else{
            ll x,y;cin>>x>>y>>z;x--;y--;
            query(x,y);
        }
    }
}