Problem 1.1: What is the angle θ between the vectors v = (2, 5, 3) and w = (1, - 2, 4)? (Hint: your answer can be left as an expression for cosθ). [Solution]

Problem 1.2: Find a vector which is perpendicular to both u = (3, 0, 2) and v = (1, 1, 1). [Solution]