7. Simplify each of the following linear combinations and write your answer in component form: a = i - 2j, b = j - 3k, and c = i - 3j + 2k a. 2(2a - 3b + 2) - 4(-a + b - 2) + (a-c) - b. 2 -(20 - 46 - 8c) - (3a - 6b + 92) 8. Name two sets of vectors that could be used to span the xy-plane in R'. Show how the vectors (-1, 2, 0) and (3, 4, 0) could each be written as a linear combination of the vectors you have chosen. 10. Solve for a, b, and c in the following equation: 2(a, 3, c) + 3(c, 7, c) = (5, b + c, 15)