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Please answer the following question. Please show all work. Thank you. the following colors, Consider given as vectors of length three in which the elements

Please answer the following question.

Please show all work.

Thank you.

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the following colors, Consider 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. the following colors, Consider 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

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