Two drones, A A\,A and BBB, are performing a synchronized maneuver with constant velocity vectors. The velocity of drone A A\,A is vA=(15i−25j+10k) m s−1\mathbf{v}_A = (15\mathbf{i} - 25\mathbf{j} + 10\mathbf{k}) \text{ m s}^{-1}vA=(15i−25j+10k) m s−1 and the velocity of drone B B\,B is vB=(ki+10j−4k) m s−1\mathbf{v}_B = (k\mathbf{i} + 10\mathbf{j} - 4\mathbf{k}) \text{ m s}^{-1}vB=(ki+10j−4k) m s−1, where k k\,k is a constant. Given that the direction of motion of drone B B\,B is parallel to the direction of motion of drone AAA, determine the value of kkk.
42 exam-style questions on Edexcel A Level Maths 12.2 Vectors in 3D. Each one has a worked solution and a mark scheme showing where the marks go.