Write a class named Homework1 in IntelliJ that implements: (1) A function that performs dot product between two vectors a and b: public static double dotProduct(double[] a, double[] b) (2) A function that performs matrix multiplication between aMat and bMat and returns the result in cMat public static void matMultiply(double[][] aMat, double[][] bMat, double[][] cMat) (3) A function that takes a line (String) as input and breaks it up into words that may be separated by space, comma or tab: public static String[] getLineWords(String line) (4) A main function that tests all the above functions and prints out the results.