Can someone explain all 8 fully

1. If a = [1, 2] and b = [2, 7], find a + 2b. A 3 10 C [5, 16] B [6, 18] D 281 2. Which vector is collinear with [2, -3]? A [2, -6] C [12, 18] B [-2, -3] D [-4, 6] 3. Which vector is perpendicular to [m, n]? A [-m, -n] C [1, 1] B [n, m] D [-n, m] 4. A 10 N force is applied at 45 to the horizontal. Write this force as a Cartesian vector. A [10, 10] C 10 10 [12' N/2 B [10, 0] D [-10 -10 5. If la] = 450, b = 775, and the angle between a and b is 120, find a . b. A 348 750 C 302 026.36 B -174 375 D 174 375 6. If a = [2, 3] and b = [5, - 2], find a . b. A 31 C -60 1377 D 4 7. If a = [10, -4, -7] and b = [-3, 1 1, -6], find ( a -b) . 5. A 105 C -198 B -32 DO 8. If a = [1, 2, 3] and b = [1, 3, -2], find the angle between a and b. A 85.90 C 450 B 900 60