#include <bits/stdc++.h>
#define GET_MACRO(a, b, c, NAME, ...) NAME
#define rep(...) GET_MACRO(__VA_ARGS__, rep3, rep2)(__VA_ARGS__)
#define rep2(i, a) rep3 (i, 0, a)
#define rep3(i, a, b) for (int i = (a); i < (b); i++)
#define repr(...) GET_MACRO(__VA_ARGS__, repr3, repr2)(__VA_ARGS__)
#define repr2(i, a) repr3 (i, 0, a)
#define repr3(i, a, b) for (int i = (b) - 1; i >= (a); i--)
#define chmin(a, b) ((b) < a && (a = (b), true))
#define chmax(a, b) (a < (b) && (a = (b), true))
using namespace std;
typedef long long ll;

const ll mod = 1e9 + 7;

ll modulo(ll a) {
	a %= mod; a += mod; a %= mod;
	return a;
}

struct HL {
	vector<vector<int>> g;
	vector<int> vid, depth, head, parent, size;
	int u, v, k;
	HL(int n) : g(n), vid(n), depth(n), head(n), parent(n), size(n + 1, 1), k(0) {}
	void add(int u, int v) { g[u].push_back(v); g[v].push_back(u); }
	void build() { dfs(0); dfs2(0); }
	void dfs(int curr, int prev = -1) {
		head[curr] = curr; parent[curr] = prev;
		int heavy = -1;
		rep (i, g[curr].size()) if (g[curr][i] != prev) {
			int next = g[curr][i];
			depth[next] = depth[curr] + 1;
			dfs(next, curr);
			size[curr] += size[next];
			if (heavy == -1 || size[heavy] < size[next]) heavy = next;
		}
		if (heavy != -1) swap(g[curr][0], g[curr][heavy]);
	}
	void dfs2(int curr, int prev = -1) {
		vid[curr] = k++;
		rep (i, g[curr].size()) if (g[curr][i] != prev) {
			if (!i) head[g[curr][i]] = head[curr];
			dfs2(g[curr][i], curr);
		}
	}
	void set(int u, int v) { this->u = u, this->v = v; }
	pair<int, int> next() {
		if (depth[head[u]] < depth[head[v]]) swap(u, v);
		pair<int, int> res = minmax(vid[u], head[u] == head[v] ? vid[v] : vid[head[u]]);
		u = head[u] == head[v] ? -1 : parent[head[u]];
		res.second++;
		return res;
	}
	bool has_next() { return u != -1; }
};

struct SegmentTree {
	vector<ll> seg, lazy, weight, wsum;
	int size;
	SegmentTree(int n) {
		size = 1;
		while (size < n) size *= 2;
		seg.resize(size * 2);
		lazy.resize(size * 2);
		weight.resize(size);
	}
	void set(int k, ll v, ll w) {
		seg[k + size - 1] = v;
		weight[k] = w;
	}
	void build() {
		wsum.resize(size + 1);
		rep (i, size) {
			wsum[i + 1] += wsum[i] + weight[i];
			wsum[i + 1] %= mod;
		}
		repr (i, size - 1) {
			seg[i] = seg[i * 2 + 1] + seg[i * 2 + 2];
			seg[i] %= mod;
		}
	}
	void push(int k, int l, int r) {
		if (lazy[k] != 0) {
			seg[k] += lazy[k] * (wsum[r] - wsum[l]);
			seg[k] = modulo(seg[k]);
			if (r - l > 1) {
				(lazy[k * 2 + 1] += lazy[k]) %= mod;
				(lazy[k * 2 + 2] += lazy[k]) %= mod;
			}
			lazy[k] = 0;
		}
	}
	void update(int a, int b, ll v, int k, int l, int r) {
		push(k, l, r);
		if (r <= a || b <= l) return;
		if (a <= l && r <= b) {
			lazy[k] = v;
			push(k, l, r);
		} else {
			update(a, b, v, k * 2 + 1, l, (l + r) / 2);
			update(a, b, v, k * 2 + 2, (l + r) / 2, r);
			seg[k] = seg[k * 2 + 1] + seg[k * 2 + 2];
			seg[k] %= mod;
		}
	}
	void update(int a, int b, ll v) {
		update(a, b, v, 0, 0, size);
	}
	ll query(int a, int b, int k, int l, int r) {
		push(k, l, r);
		if (r <= a || b <= l) return 0;
		if (a <= l && r <= b) return seg[k];
		ll res = 0;
		res += query(a, b, k * 2 + 1, l, (l + r) / 2);
		res += query(a, b, k * 2 + 2, (l + r) / 2, r);
		return res % mod;
	}
	ll query(int a, int b) {
		return query(a, b, 0, 0, size);
	}
};

int main() {
	int N;
	cin >> N;
	vector<int> S(N), C(N);
	rep (i, N) scanf("%d", &S[i]);
	rep (i, N) scanf("%d", &C[i]);
	HL hl(N);
	rep (i, N - 1) {
		int a, b;
		cin >> a >> b;
		a--; b--;
		hl.add(a, b);
	}
	hl.build();
	SegmentTree tr(N);
	rep (i, N) {
		tr.set(hl.vid[i], S[i], C[i]);
	}
	tr.build();
	int Q;
	cin >> Q;
	while (Q--) {
		int q;
		scanf("%d", &q);
		if (q == 0) {
			int x, y, z;
			scanf("%d%d%d", &x, &y, &z);
			x--; y--;

			hl.set(x, y);
			while (hl.has_next()) {
				auto p = hl.next();
				tr.update(p.first, p.second, z);
			}
		} else {
			int x, y;
			scanf("%d%d", &x, &y);
			x--; y--;
			hl.set(x, y);
			ll ans = 0;
			while (hl.has_next()) {
				auto p = hl.next();
				ans += tr.query(p.first, p.second);
				ans %= mod;
			}
			printf("%d\n", (int)ans);
		}
	}
}