The hue(H) is the angle of the vector shown with respect to the red axis. If H=0 then the colour is red. the saturation (S) is the degree which the colour is not diluted by the colour white and it is the distance from the center of the triangle diagram. Intensity is measured according to a the line that is perpendicular to the triangle and passes through the center. The hue would change according to its position with respect to the red axis. The intensity would change with respect to its distance from the black point. The further the distance the greater the intensity. In this scenario, I believe that the hue changes. In other words when the colour/hue changes chances are we will see the new colour. There is little affect on the S and I. (The further away from the center the more saturated the colour becomes and the greater the intensity.) When the hue changes, lets say 60 degrees from the red axis, we see yellow.
The following are the formulas for HSI with respect to RGB.
Question 6b
The following image reflects the exchange of blue with red colour channels. In my version of GIMP I had to use components, then the channel mixer to change the red and blue colours. I had to select the red colour and change set the red percent to zero and set the blue percent to 100. Then I did the opposite for the blue component.
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