#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
using mint = modint1000000007;
const int mod = 1000000007;
//using mint = modint998244353;
//const int mod = 998244353;
//const int INF = 1e9;
//const long long LINF = 1e18;
//const bool debug = false;
#define rep(i, n) for (int i = 0; i < (n); ++i)
#define rep2(i,l,r)for(int i=(l);i<(r);++i)
#define rrep(i, n) for (int i = (n-1); i >= 0; --i)
#define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i)
#define all(x) (x).begin(),(x).end()
#define allR(x) (x).rbegin(),(x).rend()
//#define endl "\n"
#define P pair<int,int>
template<typename A, typename B> inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; }
template<typename A, typename B> inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; }
struct S { mint sum, cost; };
struct F { mint x; };
S op(S sl, S sr) { return S{ sl.sum + sr.sum, sl.cost + sr.cost }; }
S e() { return S{ 0, 0 }; }
S mapping(F f, S s) { return S{ s.sum + s.cost * f.x, s.cost }; }
F composition(F f, F g) { return F{ f.x + g.x }; }
F id() { return F{ 0 }; }
struct HeavyLightDecomposition {
	HeavyLightDecomposition(vector<vector<int>> &_g, vector<S>&_val) :g(_g), val(_val) {
		n = g.size();
		sz.resize(n);
		par.resize(n);
		in.resize(n);
		out.resize(n);
		rev.resize(n);
		head.resize(n);
	}
	int n;
	vector<vector<int>>g;
	vector<int>sz, par, in, out, rev, head;
	vector<S>val;
	lazy_segtree<S, op, e, F, mapping, composition, id> seg;
	void build() {
		dfs_sz(0);
		int time = 0;
		dfs_hld(0, time);
		initSegmentTree();
	}
	void dfs_sz(int v, int p = -1) {
		par[v] = p;
		sz[v] = 1;
		if (g[v].size() && (p == g[v][0]))swap(g[v][0], g[v].back());
		for (auto &e : g[v]) {
			if (p == e)continue;
			dfs_sz(e, v);
			sz[v] += sz[e];
			if (sz[g[v][0]] < sz[e])swap(g[v][0], e);
		}
	}
	void dfs_hld(int v, int &time, int p = -1) {
		in[v] = time;
		time++;
		rev[in[v]] = v;
		for (auto &e : g[v]) {
			if (p == e)continue;
			if (e == g[v][0])head[e] = head[v];
			else head[e] = e;
			dfs_hld(e, time, v);
		}
		out[v] = time;
	}
	void initSegmentTree() {
		vector<S>_val(n);
		rep(i, n)_val[i] = val[rev[i]];
		lazy_segtree<S, op, e, F, mapping, composition, id> _seg(_val);
		seg = _seg;
	}
	S query(int u, int v) {
		S ret = e();
		for (;; v = par[head[v]]) {
			if (in[u] > in[v])swap(u, v);
			if (head[u] == head[v])break;
			auto get = seg.prod(in[head[v]], in[v] + 1);
			ret = op(ret, get);
		}
		auto get = seg.prod(in[u], in[v] + 1);
		ret = op(ret, get);
		return ret;
	}
	int la(int v, int k) {
		while (1) {
			int u = head[v];
			if (in[v] - k > in[u])return rev[in[v] - k];
			k -= in[v] - in[u] + 1;
			v = par[u];
		}
	}
	int lca(int u, int v) {
		for (;; v = par[head[v]]) {
			if (in[u] > in[v])swap(u, v);
			if (head[u] == head[v])return u;
		}
	}
	// path update
	void update_path(int u, int v, F x) {
		for (;; v = par[head[v]]) {
			if (in[u] > in[v])swap(u, v);
			if (head[u] == head[v])break;
			seg.apply(in[head[v]], in[v] + 1, x);
		}
		seg.apply(in[u], in[v] + 1, x);
	}
	// subtree_update
	void update_subtree(int v, F x) {
		seg.apply(in[v], out[v], x);
	}
	void debug() {
		cout << "in" << endl;
		rep(i, n) cout << in[i] << " ";
		cout << endl;
		cout << "head" << endl;
		rep(i, n) cout << head[i] << " ";
		cout << endl;
		cout << "rev" << endl;
		rep(i, n) cout << rev[i] << " ";
		cout << endl;
		cout << "out" << endl;
		rep(i, n) cout << out[rev[i]] << " ";
		cout << endl;
	}
};
int main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	int n; cin >> n;
	vector<long long>s(n), c(n);
	rep(i, n)cin >> s[i];
	rep(i, n)cin >> c[i];
	vector<vector<int>>g(n);
	rep(i, n - 1) {
		int u, v; cin >> u >> v; u--; v--;
		g[u].push_back(v);
		g[v].push_back(u);
	}
	vector<S>x(n);
	rep(i, n)x[i] = S{ s[i],c[i] };
	HeavyLightDecomposition hld(g, x);
	hld.build();
	//hld.debug();
	int q; cin >> q;
	while (q--) {
		int t; cin >> t;
		if (0 == t) {
			int x, y, z; cin >> x >> y >> z; x--; y--;
			hld.update_path(x, y,F {z});
		}
		else {
			int x, y; cin >> x >> y; x--; y--;
			S get = hld.query(x, y);
			cout << get.sum.val() << endl;
		}
	}
	return 0;
}