import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.Closeable;
import java.io.FileInputStream;
import java.io.FileWriter;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.HashMap;
import java.util.List;
import java.util.PriorityQueue;
import java.util.TreeMap;

public class Main {
	static ContestScanner in;static Writer out;public static void main(String[] args)
	{try{in=new ContestScanner();out=new Writer();Main solve=new Main();solve.solve();
	in.close();out.flush();out.close();}catch(IOException e){e.printStackTrace();}}
	static void dump(int[]a){for(int i=0;i<a.length;i++)out.print(a[i]+" ");out.println();}
	static void dump(int[]a,int n){for(int i=0;i<a.length;i++)out.printf("%"+n+"d ",a[i]);out.println();}
	static void dump(long[]a){for(int i=0;i<a.length;i++)out.print(a[i]+" ");out.println();}
	static void dump(char[]a){for(int i=0;i<a.length;i++)out.print(a[i]);out.println();}
	static long pow(long a,int n){long r=1;while(n>0){if((n&1)==1)r*=a;a*=a;n>>=1;}return r;}
	static String itob(int a,int l){return String.format("%"+l+"s",Integer.toBinaryString(a)).replace(' ','0');}
	static void sort(int[]a){m_sort(a,0,a.length,new int[a.length]);}
	static void sort(int[]a,int l){m_sort(a,0,l,new int[l]);}
	static void sort(int[]a,int l,int[]buf){m_sort(a,0,l,buf);}
	static void sort(int[]a,int s,int l,int[]buf){m_sort(a,s,l,buf);}
	static void m_sort(int[]a,int s,int sz,int[]b)
	{if(sz<7){for(int i=s;i<s+sz;i++)for(int j=i;j>s&&a[j-1]>a[j];j--)swap(a, j, j-1);return;}
	m_sort(a,s,sz/2,b);m_sort(a,s+sz/2,sz-sz/2,b);int idx=s;int l=s,r=s+sz/2;final int le=s+sz/2,re=s+sz;
	while(l<le&&r<re){if(a[l]>a[r])b[idx++]=a[r++];else b[idx++]=a[l++];}
	while(r<re)b[idx++]=a[r++];while(l<le)b[idx++]=a[l++];for(int i=s;i<s+sz;i++)a[i]=b[i];
	} /* qsort(3.5s)<<msort(9.5s)<<<shuffle+qsort(17s)<Arrays.sort(Integer)(20s) */
	static void sort(long[]a){m_sort(a,0,a.length,new long[a.length]);}
	static void sort(long[]a,int l){m_sort(a,0,l,new long[l]);}
	static void sort(long[]a,int l,long[]buf){m_sort(a,0,l,buf);}
	static void sort(long[]a,int s,int l,long[]buf){m_sort(a,s,l,buf);}
	static void m_sort(long[]a,int s,int sz,long[]b)
	{if(sz<7){for(int i=s;i<s+sz;i++)for(int j=i;j>s&&a[j-1]>a[j];j--)swap(a, j, j-1);return;}
	m_sort(a,s,sz/2,b);m_sort(a,s+sz/2,sz-sz/2,b);int idx=s;int l=s,r=s+sz/2;final int le=s+sz/2,re=s+sz;
	while(l<le&&r<re){if(a[l]>a[r])b[idx++]=a[r++];else b[idx++]=a[l++];}
	while(r<re)b[idx++]=a[r++];while(l<le)b[idx++]=a[l++];for(int i=s;i<s+sz;i++)a[i]=b[i];}
	static void swap(long[] a,int i,int j){final long t=a[i];a[i]=a[j];a[j]=t;}
	static void swap(int[] a,int i,int j){final int t=a[i];a[i]=a[j];a[j]=t;}
	static int binarySearchSmallerMax(int[]a,int v)// get maximum index which a[idx]<=v
	{int l=-1,r=a.length-1,s=0;while(l<=r){int m=(l+r)/2;if(a[m]>v)r=m-1;else{l=m+1;s=m;}}return s;}
	static int binarySearchSmallerMax(int[]a,int v,int l,int r)
	{int s=-1;while(l<=r){int m=(l+r)/2;if(a[m]>v)r=m-1;else{l=m+1;s=m;}}return s;}
	@SuppressWarnings("unchecked")
	static List<Integer>[]createGraph(int n)
    {List<Integer>[]g=new List[n];for(int i=0;i<n;i++)g[i]=new ArrayList<>();return g;}
	void solve() throws NumberFormatException, IOException{
		int n = in.nextInt();
		int[] s = new int[n];
		int[] c = new int[n];
		for(int i=0; i<n; i++) s[i] = in.nextInt();
		for(int i=0; i<n; i++) c[i] = in.nextInt();
		HLD_light hld = new HLD_light(n, s, c);
		for(int i=0; i<n-1; i++){
			int a = in.nextInt()-1;
			int b = in.nextInt()-1;
			hld.edge(a, b);
		}
		hld.decomp(0);
		hld.graph(0);
		int q = in.nextInt();
		for(int i=0; i<q; i++){
			final int query = in.nextInt();
			final int x = in.nextInt()-1;
			final int y = in.nextInt()-1;
			if(query==0){
				final int z = in.nextInt();
				hld.add(x, y, z);
			}else{
				out.println(hld.sum(x, y));
			}
		}
	}
}

class SegTree{
	final long mod = 1000000007;
	long[] tree;
	int size;
	int len;
	public SegTree(int n){
		for(size=1; size<n; size<<=1);
		len = size<<1;
		tree = new long[len];
	}
	void fill(int v){
		Arrays.fill(tree, v);
	}
	public void add(int id, int x){
		for(int i=id|size; i>0; i>>=1) tree[i] = (tree[i]+x)%mod;
	}
}

class LazySegTree{
	// benchmark: (n=10^5, q=2*10^5) * 100try --- 13772ms ( 137ms/try)
	//			: (n=10^6, q=2*10^6) * 10try  --- 18512ms (1851ms/try)
	SegTree st;
	final long mod = 1000000007;
	long[] value;
	long[] hold;
	int length, n, bits;
	public LazySegTree(int n) {
		for(length=1; length<n; length<<=1) bits++;
		length <<= 1;
		value = new long[length];
		hold = new long[length];
		st = new SegTree(n);
	}
	void setS(int idx, int s){
		add(idx, idx, s);
	}
	void setC(int idx, int c){
		st.add(idx, c);
	}
	void add(int l, int r, long v){ // r: inclusive
		add(l, r, v, bits, 0);
	}
	private void add(int l, int r, long v, int shift, int idx){
		if(r<l) return;
		final int index = idx|1<<bits-shift;
		if(r-l+1<(1<<shift)){
			final int nidx = idx<<1|1;
			add(l, Math.min(r, (nidx<<shift-1)-1), v, shift-1, nidx-1);
			add(Math.max(l, nidx<<shift-1), r, v, shift-1, nidx);
			value[index] = (value[index<<1]+value[index<<1|1]
					+hold[index]*st.tree[index]%mod)%mod;
		}else{
			value[index] = (value[index]+v*st.tree[index]%mod)%mod;
			hold[index] = (hold[index]+v)%mod;
		}
	}
	long sum(int l, int r){
		return sum(l, r, bits, 0, 0);
	}
	private long sum(int l, int r, int shift, int idx, long add){
		final int index = idx|1<<bits-shift;
		if(r<l){
			hold[index] = (hold[index]+add)%mod;
			value[index] = (value[index]+add*st.tree[index]%mod)%mod;
			return 0;
		}
		value[index] = (value[index]+add*st.tree[index]%mod)%mod;
		final long next = (hold[index]+add)%mod;
		if(r-l+1<(1<<shift)){
			final int nidx = idx<<1|1;
			hold[index] = 0;
			return (sum(l, Math.min(r, (nidx<<shift-1)-1), shift-1, nidx-1, next)
					+ sum(Math.max(l, nidx<<shift-1), r, shift-1, nidx, next))%mod;
		}else{
			hold[index] = next;
			return value[index];
		}
	}
}

class HLD_light{
	List<Integer>[] node;
	int[] child;
	int[] len;
	int n;
	int size;
	int[] s, c;
	HLD_light(int n, int[] s, int[] c) {
		node = new List[n];
		for(int i=0; i<n; i++) node[i] = new ArrayList<>();
		init(n);
		this.s = s;
		this.c = c;
	}
	public HLD_light(List<Integer>[] node) {
		this.node = node;
		init(node.length);
	}
	void init(int n){
		this.n = n;
		child = new int[n];
		len = new int[n];
		Arrays.fill(child, -1);
		st = new int[n];
		pst = new int[n];
	}
	void edge(int v, int u){
		node[v].add(u);
		node[u].add(v);
	}
	int[] st, pst;
	void decomp(int root){
		boolean[] back = new boolean[n];
		int sp = 0;
		pst[0] = root;
		st[sp++] = root;
		size = node[root].size();
		while(sp>0){
			int p = st[--sp];
			int par = pst[sp];
			boolean b = back[sp];
			if(b){
				if(len[p]+1>len[par] && p!=root){
					child[par] = p;
					len[par] = len[p]+1;
				}
			}else{
				len[p] = 1;
				back[sp++] = true;
				if(node[p].size()>1 && p!=root) size += node[p].size()-2;
				for(int v: node[p]){
					if(v==par) continue;
					st[sp] = v;
					pst[sp] = p;
					back[sp] = false;
					sp++;
				}
			}
		}
	}
	int[][] vertex;
	LazySegTree[] lst;
	int[] idx, pidx;
	int[] parent, dep;
	void graph(int root){
		int[] isp = new int[size];
		idx = new int[n];
		pidx = new int[n];
		int number = 0;
		vertex = new int[size][];
//		lst = new LazySegTree[size];
		parent = new int[size];
		dep = new int[size];
		int sp = 0;
		pst[0] = root;
		st[sp++] = root;
		vertex[0] = new int[len[root]];
		isp[0]++;
		while(sp>0){
			int p = st[--sp];
			int par = pst[sp];
			for(int v: node[p]){
				if(v==par || v==child[p]) continue;
				idx[v] = ++number;
				pidx[v] = isp[number];
				dep[number] = dep[idx[p]]+1;
				parent[number] = p; // child to parent
				vertex[number] = new int[len[v]];
				vertex[number][isp[number]++] = v;
				st[sp] = v;
				pst[sp] = p;
				sp++;
			}
			if(child[p]>=0){
				int cld = child[p];
				idx[cld] = idx[p];
				pidx[cld] = isp[idx[cld]];
				vertex[idx[cld]][isp[idx[cld]]++] = cld;
				st[sp] = cld;
				pst[sp] = p;
				sp++;
			}
		}
		lst = new LazySegTree[size];
		for(int i=0; i<size; i++){
			final int len = vertex[i].length;
			lst[i] = new LazySegTree(len);
			lst[i].st.fill(1);
			for(int j=0; j<len; j++){
				lst[i].setS(j, s[vertex[i][j]]);
			}
		}
		for(int i=0; i<size; i++){
			final int len = vertex[i].length;
			lst[i].st.fill(0);
			for(int j=0; j<len; j++){
				lst[i].setC(j, c[vertex[i][j]]);
			}
		}
	}
	void add(int h, int l, int z){
		while(idx[h] != idx[l]){
			if(dep[idx[h]]>dep[idx[l]]){
				h = h^l; l = h^l; h = h^l;
			}
			lst[idx[l]].add(0, pidx[l], z);
			l = parent[idx[l]];
		}
		if(pidx[h] > pidx[l]){
			h = h^l; l = h^l; h = h^l;
		}
		lst[idx[h]].add(pidx[h], pidx[l], z);
	}
	final long mod = 1000000007;
	int sum(int h, int l){
		long res = 0;
		while(idx[h] != idx[l]){
			if(dep[idx[h]]>dep[idx[l]]){
				h = h^l; l = h^l; h = h^l;
			}
			res = (res+lst[idx[l]].sum(0, pidx[l]))%mod;
			l = parent[idx[l]];
		}
		if(pidx[h] > pidx[l]){
			h = h^l; l = h^l; h = h^l;
		}
		return (int)((res + lst[idx[h]].sum(pidx[h], pidx[l]))%mod);
	}
}


@SuppressWarnings("serial")
class MultiSet<T> extends HashMap<T, Integer>{
	@Override public Integer get(Object key){return containsKey(key)?super.get(key):0;}
	public void add(T key,int v){put(key,get(key)+v);}
	public void add(T key){put(key,get(key)+1);}
	public void sub(T key){final int v=get(key);if(v==1)remove(key);else put(key,v-1);}
	public MultiSet<T> merge(MultiSet<T> set)
	{MultiSet<T>s,l;if(this.size()<set.size()){s=this;l=set;}else{s=set;l=this;}
	for(Entry<T,Integer>e:s.entrySet())l.add(e.getKey(),e.getValue());return l;}
}
@SuppressWarnings("serial")
class OrderedMultiSet<T> extends TreeMap<T, Integer>{
	@Override public Integer get(Object key){return containsKey(key)?super.get(key):0;}
	public void add(T key,int v){put(key,get(key)+v);}
	public void add(T key){put(key,get(key)+1);}
	public void sub(T key){final int v=get(key);if(v==1)remove(key);else put(key,v-1);}
	public OrderedMultiSet<T> merge(OrderedMultiSet<T> set)
	{OrderedMultiSet<T>s,l;if(this.size()<set.size()){s=this;l=set;}else{s=set;l=this;}
	while(!s.isEmpty()){l.add(s.firstEntry().getKey(),s.pollFirstEntry().getValue());}return l;}
}
class Pair implements Comparable<Pair>{
	int a,b;final int hash;Pair(int a,int b){this.a=a;this.b=b;hash=(a<<16|a>>16)^b;}
	public boolean equals(Object obj){Pair o=(Pair)(obj);return a==o.a&&b==o.b;}
	public int hashCode(){return hash;}
	public int compareTo(Pair o){if(a!=o.a)return a<o.a?-1:1;else if(b!=o.b)return b<o.b?-1:1;return 0;}
}
class Timer{
	long time;public void set(){time=System.currentTimeMillis();}
	public long stop(){return time=System.currentTimeMillis()-time;}
	public void print(){System.out.println("Time: "+(System.currentTimeMillis()-time)+"ms");}
	@Override public String toString(){return"Time: "+time+"ms";}
}
class Writer extends PrintWriter{
	public Writer(String filename)throws IOException
	{super(new BufferedWriter(new FileWriter(filename)));}
	public Writer()throws IOException{super(System.out);}
}
class ContestScanner implements Closeable{
	private BufferedReader in;private int c=-2;
	public ContestScanner()throws IOException 
	{in=new BufferedReader(new InputStreamReader(System.in));}
	public ContestScanner(String filename)throws IOException
	{in=new BufferedReader(new InputStreamReader(new FileInputStream(filename)));}
	public String nextToken()throws IOException {
		StringBuilder sb=new StringBuilder();
		while((c=in.read())!=-1&&Character.isWhitespace(c));
		while(c!=-1&&!Character.isWhitespace(c)){sb.append((char)c);c=in.read();}
		return sb.toString();
	}
	public String readLine()throws IOException{
		StringBuilder sb=new StringBuilder();if(c==-2)c=in.read();
		while(c!=-1&&c!='\n'&&c!='\r'){sb.append((char)c);c=in.read();}
		return sb.toString();
	}
	public long nextLong()throws IOException,NumberFormatException
	{return Long.parseLong(nextToken());}
	public int nextInt()throws NumberFormatException,IOException
	{return(int)nextLong();}
	public double nextDouble()throws NumberFormatException,IOException 
	{return Double.parseDouble(nextToken());}
	public void close() throws IOException {in.close();}
}