Problem a (LA3a.java) Write a program to calculate the result of one of three operations (minimum, L norm, L2 norm) on a vector of three numbers. To begin, have the user input three numbers at the keyboard (e.g. -1 2 3). Then, ask the user to type in an operation (valid operations are "min", "11", or 12"; all letters are lowercase). Assuming the user types a valid operation, your program should compute and output to the screen the result based upon the three numbers; otherwise output an error For "min", the result is the minimum of the three numbers (i.e. -1). For "11", the result is the sum of the absolute values of the three numbers (i.e. |-1 2+3 1+2+36). For 12", the result is the square root of the sum of the squares (i.e. /-1(2)+(3) Vl+4+9 14 3.74). Example runs: Enter three numbers: -1 2 3 Enter operation: min min(-1.00, 2.00, 3.00)1.00 Enter three numbers: -1 2 3 Enter operation: 11 11-1.00, 2.00, 3.00)6.00 Enter three numbers: -1 2 3 Enter operation: 12 12(-1.00, 2.00, 3.00)3.74 Enter three numbers: -1 2 3 Enter operation: foobar Invalid operation! Enter three numbers: -1 2 3 Enter operation: MIN Invalid operation