Component video cables for connecting your DVD and television transmit the red, green and blue color channels along separate lines. You have just connected a new cable and you discover that an image of the American flag looks red, magenta and blue. The color blue appears where the flag should be blue, red appears where the flag should be red, and magenta appears where the flag should be white. (a) Is it possible that you have switched two of the color channels when you connected the cables? If so, which color channels might be swapped? If not, why not? (b) Is it possible that the cable or connector is defective? If so, what is the defect? If not, why not?