(10 points) The figure below shows two named points A and B in R. 6 A 5 4 3 2 1 y -1 B -2 -3 -4 -5 -6 -6-5-4-3-2-1 1 2 3 4 56 Part 1 a. Find the coordinate vector for AB. AB = b. Write the vector AB as a sum of two nonzero, nonparallel vectors. AB = + c. Write the vector AB as a sum of three nonzero vectors none of which is parallel to the others. AB= + + Part 2 a. Write the vector BA as a sum of two vectors, one parallel to (1,0) and the other parallel to (0,-2). BA= + b. Write the vector BA as a sum of two vectors, one parallel to (1, 1) and the other parallel to (-1, 1). BA= +