Answer: The value of r- q+2s is (0,9).
Explanation:
Given: q= (15,-3), r= (-5,8), and S = (10,-1)
To find: r- q+2s
Consider r- q+2s = (-5,8) - (15,-3) + 2x (10,-1)
= (-5,8) - (15,-3) +(2 x 10, 2 x -1) [ a(b,c) = (ab, ac)]
= (-5, 8) - (15,-3) + (20,-2)
= (-5-15+20, 8-(-3)+(-2)) [(a,b)+(c,d)= (a+c, b+d)]
= (-20+20, 8+3-2)
= (0, 9)
Hence, the value of r- q+2s is (0,9).