#include <bits/stdc++.h>
#define ll long long
#define INF 1000000005
#define MOD 1000000007
#define EPS 1e-10
#define rep(i,n) for(int i=0;i<(int)(n);++i)
#define rrep(i,n) for(int i=(int)(n)-1;i>=0;--i)
#define srep(i,s,t) for(int i=(int)(s);i<(int)(t);++i)
#define each(a,b) for(auto (a): (b))
#define all(v) (v).begin(),(v).end()
#define len(v) (int)(v).size()
#define zip(v) sort(all(v)),v.erase(unique(all(v)),v.end())
#define cmx(x,y) x=max(x,y)
#define cmn(x,y) x=min(x,y)
#define fi first
#define se second
#define pb push_back
#define show(x) cout<<#x<<" = "<<(x)<<endl
#define spair(p) cout<<#p<<": "<<p.fi<<" "<<p.se<<endl
#define svec(v) cout<<#v<<":";rep(kbrni,v.size())cout<<" "<<v[kbrni];cout<<endl
#define sset(s) cout<<#s<<":";each(kbrni,s)cout<<" "<<kbrni;cout<<endl
#define smap(m) cout<<#m<<":";each(kbrni,m)cout<<" {"<<kbrni.first<<":"<<kbrni.second<<"}";cout<<endl

using namespace std;

typedef pair<int,int> P;
typedef pair<ll,ll> pll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<double> vd;
typedef vector<P> vp;
typedef vector<string> vs;

struct HLdecomposition{
    struct Centroid{
        int parid, pardepth, depth, sz;   //親のパスのid,親のノードは親のパスの何番目,パスの深さ,属する頂点の数
        Centroid(int idx, int dep, int deep, int size) : parid(idx), pardepth(dep), depth(deep), sz(size){}
        inline P Up(){
            return P(parid, pardepth);
        }
    };
    vector<vector<int> > G;
    vector<int> stsize, nxpath;
    vector<int> pathorder, pathid;   //何番目のパスに属するか,そのパスの何番目か
    vector<Centroid> centroids; //パスが格納
    vector<int> index;
    void Buildstsize(){
        stack<P> s;
        s.push(P(0, -1));
        while(!s.empty()) {
            P p = s.top();
            s.pop();
            if(stsize[p.first] != -1){
                nxpath[p.first] = -1;
                for(int to : G[p.first]){
                    //親に向かう場合
                    if(p.second == to){
                        continue;
                    }
                    stsize[p.first] += stsize[to];
                    if(nxpath[p.first] == -1 || stsize[nxpath[p.first]] < stsize[to]) {
                        nxpath[p.first] = to;
                    }
                }
            }else{
                s.push(p);
                stsize[p.first] = 1;
                for(int to : G[p.first]){
                    if(p.second != to){
                        s.push(P(to, p.first));
                    }
                }
            }
        }
    }
    void BuildPath()
    {
        stack<P> s;
        centroids.emplace_back(-1, -1, 0, 0);
        s.push(P(0, -1));
        pathorder[0] = 0;
        while(!s.empty()) {
            P p = s.top();
            s.pop();
            pathid[p.first] = centroids[pathorder[p.first]].sz;
            for(int to : G[p.first]){
                if(p.second == to) continue;
                if(to == nxpath[p.first]){ // Centroid-Pathについて
                    pathorder[to] = pathorder[p.first];
                }else{                      // Centroid-Pathでないものについて
                    pathorder[to] = (int)centroids.size();
                    centroids.emplace_back(pathorder[p.first], pathid[p.first], centroids[pathorder[p.first]].depth + 1,0);
                }
                s.emplace(to, p.first);
            }
            centroids[pathorder[p.first]].sz++;
        }
    }
    void Build_index(){
        int ptr = 0;
        for(auto& centroid : centroids){
            index.push_back(ptr);
            ptr += centroid.sz;
        }
    }
    void add_edge(int x, int y)
    {
        G[x].push_back(y), G[y].push_back(x);
    }
    void Build()
    {
        Buildstsize(); BuildPath(), Build_index();
    }
    //idxが何番目のパスの何番目か
    inline P info(int idx)
    {
        return P(pathorder[idx], pathid[idx]);
    }
    //元の頂点のインデックスの配列上でのidを返す
    inline int get(int a)
    {
        P p = info(a);
        return (index[p.first] + p.second);
    }
    inline Centroid &operator[](int k)
    {
        return (centroids[k]);
    }
    inline void query(int a, int b, const function< void(int, int) > &func)
    {
        int pathidA, pathdepthA, pathidB, pathdepthB;
        tie(pathidA, pathdepthA) = info(a);
        tie(pathidB, pathdepthB) = info(b);
        while(pathidA != pathidB) {
            if(centroids[pathidA].depth > centroids[pathidB].depth) {
                func(index[pathidA], index[pathidA] + pathdepthA + 1);
                tie(pathidA, pathdepthA) = centroids[pathidA].Up();
            }else{
                func(index[pathidB], index[pathidB] + pathdepthB + 1);
                tie(pathidB, pathdepthB) = centroids[pathidB].Up();
            }
        }
        if(pathdepthA > pathdepthB) swap(pathdepthA, pathdepthB);
        func(index[pathidA] + pathdepthA, index[pathidA] + pathdepthB + 1);
    }
    HLdecomposition(int SZ)
    {
        G.resize(SZ);
        stsize.assign(SZ, -1);
        nxpath.resize(SZ);
        pathorder.resize(SZ);
        pathid.resize(SZ);
    }
};

ll add(ll x,ll y)
{
    return (x + y)%MOD;
}

ll sub(ll x,ll y)
{
    return (x+MOD-y)%MOD;
}

ll mul(ll x,ll y)
{
    return x*y%MOD;
}

template<typename V> class segtree {
private:
    int n,sz;
    vector<V> node, lazy, sm;

public:
    segtree(vector<V>& u,vector<V>& v) {
        sz = (int)v.size();
        n = 1;
        while(n < sz){
            n *= 2;
        }
        node.resize(2*n-1);
        lazy.resize(2*n-1, 0);
        sm.resize(n+1,0);
        sm[0] = 0;
        rep(i,sz){
            sm[i+1] = add(sm[i],u[i]);
        }
        rep(i,sz){
            node[i+n-1] = v[i];
        }
        for(int i=n-2; i>=0; i--){
            node[i] = add(node[i*2+1],node[i*2+2]);
        }
    }
    int sum(int l,int r){
        return sub(sm[r],sm[l]);
    }
    void eval(int k, int l, int r) {
        if(lazy[k] != 0) {
            node[k] = add(node[k],mul(sum(l,r),lazy[k])); //kを根とするsubtreeについての情報を更新
            if(r - l > 1) {
                lazy[2*k+1] = add(lazy[2*k+1],lazy[k]);
                lazy[2*k+2] = add(lazy[2*k+2],lazy[k]);
            }
            lazy[k] = 0;
        }
    }
    void range(int a, int b, V x, int k=0, int l=0, int r=-1) {
        if(r < 0) r = n;
        eval(k, l, r);
        if(b <= l || r <= a){
            return;
        }
        if(a <= l && r <= b) {
            lazy[k] = add(lazy[k],x);
            eval(k, l, r);
        }else{
            range(a, b, x, 2*k+1, l, (l+r)/2);
            range(a, b, x, 2*k+2, (l+r)/2, r);
            node[k] = add(node[2*k+1],node[2*k+2]);
        }
    }
    V query(int a, int b, int k=0, int l=0, int r=-1) {
        if(r < 0) r = n;
        eval(k, l, r);
        if(b <= l || r <= a){
            return 0;
        }
        if(a <= l && r <= b){
            return node[k];
        }
        V vl = query(a, b, 2*k+1, l, (l+r)/2);
        V vr = query(a, b, 2*k+2, (l+r)/2, r);
        return add(vl,vr);
    }
    void print()
    {
        rep(i,sz){
            cout << query(i,i+1) << " ";
        }
        cout << endl;
    }
};

int main()
{
    int n;
    scanf("%d",&n);
    vi s(n),c(n);
    rep(i,n){
        scanf("%d",&s[i]);
    }
    rep(i,n){
        scanf("%d",&c[i]);
    }
    HLdecomposition hl(n);
    rep(i,n-1){
        int a,b;
        scanf("%d%d",&a,&b);
        hl.add_edge(a-1,b-1);
    }
    hl.Build();
    int Q;
    scanf("%d",&Q);
    vi d(n),e(n);
    rep(i,n){
        d[hl.get(i)] = c[i];
        e[hl.get(i)] = s[i];
    }
    segtree<int> seg(d,e);
    rep(i,Q){
        int p,q,r;
        scanf("%d%d%d",&p,&q,&r);
        --q,--r;
        if(p == 0){
            int s;
            scanf("%d",&s);
            hl.query(q, r, [&](int l, int r){ seg.range(l, r, s); });
        }else{
            int ans = 0;
            hl.query(q, r, [&](int l, int r){ ans = add(ans,seg.query(l, r)); });
            printf("%d\n", ans);
        }
    }
}