5 3 A(2,3) 1. (a) For the given triangle, determine the vectors AB and BC. (2 marks) B(-2, 1) -5 -4 -2 2 3 A (b) Determine the magnitudes of vectors AB and BC. (2 marks) -2 -3 C(4, -3) (c) Determine the angle between AB and BC. (3 marks) -4 -5 2. Determine the value of t such that the vectors [t, 3t, 3] and [t, 2, 3] are perpendicular.(4 marks) 2. Find a vector that is perpendicular to both vector a = (1,3,-2) and vector b = (-1,3,-6). (4 marks) 3. Simplify the vector = (41 - 27) + 3(1 +]). (2 marks)