Please answer all questions carefully and correctly

1. (6 points total - 2 points each) Let a = [8 3 - 2 7] and b = [7 4 1 9]. a. Evaluate - 4a + 3b. b. Evaluate a . b. c. Find ||b . Round your answer to three places after the decimal. 2. (1 point) True or false: The vectors [4 - 4] and [3 - 3] are orthogonal. 3. (4 points) Write w = [34 20] as a linear combination of the vectors a = [1 2] and b = [6 4]. That is, find scalars x and y such that xa + yb = w