Please answer the following question and show all work

Problem 3 Consider the following colors, given as vectors of length three in which the elements indicate the R, G, and B values, respectively, in the RGB color space. Each value can vary from a minimum of 0 to a maximum of 1: 1. (.20.40.60) 2. (.80.80.20) 3. (.30.40.50) 4. (.40.50.30) 5. (.60.80 1.0) Find the following, showing your supporting calculations in each case: a. The color that is closest to pure cyan (in terms of a Euclidean distance metric). b. Two colors that differ only in intensity/brightness (ie, they each have the same hue and saturation as the other, but different intensities). c. Two colors that differ only in hue. d. Two colors that differ only in saturation. Problem 3 Consider the following colors, given as vectors of length three in which the elements indicate the R, G, and B values, respectively, in the RGB color space. Each value can vary from a minimum of 0 to a maximum of 1: 1. (.20.40.60) 2. (.80.80.20) 3. (.30.40.50) 4. (.40.50.30) 5. (.60.80 1.0) Find the following, showing your supporting calculations in each case: a. The color that is closest to pure cyan (in terms of a Euclidean distance metric). b. Two colors that differ only in intensity/brightness (ie, they each have the same hue and saturation as the other, but different intensities). c. Two colors that differ only in hue. d. Two colors that differ only in saturation