Linux - Shell does not redirect outputs - c++

Question

I created a simple shell in Linux using fork() and execvp(). It works fine with cat, ls etc. but when I try to redirect its output like ./hello.o > output.txt it doesn't work.
I am guessing I didn't provide the write path to look for the definitions. My shell is currently searching on /bin/ path where most of the commands are stored.
Here is my code:
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <unistd.h>
#define ARG_SIZE 100 // MAX LENGTH FOR ARGUMENTS
#define PATH "/bin/" // PATH FOR ARGUMENTS
int main() {
char inputLine[BUFSIZ];
char *argv[ARG_SIZE];
// for path + argv
char programPath[200];
while (1) {
printf("myshell> ");
// check if ctrl + D is pressed
if (fgets(inputLine, BUFSIZ, stdin) == NULL)
break;
inputLine[strlen(inputLine) - 1] = '\0';
// check if exit is typed
if (strcmp(inputLine, "exit") == 0)
break;
int i = 0;
argv[0] = strtok(inputLine, " \n");
for (i = 0; argv[i] && i < ARG_SIZE-1; ++i)
argv[++i] = strtok(NULL, " \n");
// create a fork call
pid_t pid = fork();
if (pid == -1) {
perror("fork");
exit(1);
}
// parent
if (pid != 0) {
wait();
// child
} else {
strcat(programPath, argv[0]);
// will not return unless it fails
execvp(programPath, argv);
perror("execvp");
exit(1);
}
}
return 0;
}