public class Arrays {

   public static void main(String[] args) {
      int[] a = {12, 23, 34, 45, 56};
      int[] b = {4, 1, 2, 5, 3};

      for (int i = 0; i < a.length; i++)  // loop to print numbers
         System.out.print(a[i] + " ");
      System.out.println();
      
      int sum = 0;
      for (int i = 0; i < a.length; i++)  // loop to add numbers
         sum = sum + a[i];
      System.out.println("Sum of entries: " + sum);
      
      int[] c = new int[a.length];
      for (int i = 0; i < a.length; i++)  // loop to add arrays
         c[i] = a[i] + b[i];
      for (int i = 0; i < c.length; i++)  // now print new array
         System.out.print(c[i] + " ");
      System.out.println();
      
      int innerProduct = 0;
       for (int i = 0; i < a.length; i++)  // loop to add arrays
         innerProduct = innerProduct + a[i]*b[i];
      System.out.println("Inner Product of a and b: " + innerProduct);

   }
}

Here are results of a run:

12 23 34 45 56 
Sum of entries: 170
16 24 36 50 59 
Inner Product of a and b: 532

public class Arrays2 {

   public static void printArray(int[] x) {
      for (int i = 0; i < x.length; i++)  // loop to print numbers
         System.out.print(x[i] + " ");
      System.out.println();
   }
   
   public static int addElements(int[] x) {
      int sum = 0;
      for (int i = 0; i < x.length; i++)  // loop to add numbers
         sum = sum + x[i];
      return sum;
   }
   
   public static int innerProduct(int[] x, int[] y) {
      int innProd = 0;
       for (int i = 0; i < x.length; i++)  // loop to add arrays
         innProd = innProd + x[i]*y[i];
      return innProd;
   }
     
   public static int[] addArrays(int[] x, int[] y) {
      int[] z = new int[x.length];
       for (int i = 0; i < x.length; i++)  // loop to add arrays
         z[i] = x[i] + y[i];
      return z;
   }
   
   public static void main(String[] args) {
      int[] a = {12, 23, 34, 45, 56};
      int[] b = {4, 1, 2, 5, 3};

      printArray(a);
      
      System.out.println("Sum of entries: " + addElements(a));
      
      int[] c = addArrays(a, b);
      printArray(c);
      
      System.out.println("Inner Product of a and b: " + 
         innerProduct(a, b));

   }
}

Here are results of a run. Notice that these results are exactly the same as the previous ones.

12 23 34 45 56 
Sum of entries: 170
16 24 36 50 59 
Inner Product of a and b: 532