Question 1205105
From the fact that P projects vectors onto (2; 3), we can plug in vectors to get that P = {{4/13,6/13},{6/13,9/13}}. 

From the fact that R reflects vectors across a line with direction (1; 4), we can plug in vectors to get that R = {{-15/17,8/17},{8/17,15/17}}. 

Computing them with the values provided and subtracting, the final answer is

{{3,0},{2,0}}