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.
Practise Edexcel A Level Maths Vectors with exam-style questions for A Level Maths. 100 questions covering 12.1 3D Coordinates, 12.2 Vectors in 3D, 12.3 Solving Geometric Problems, and 12.4 Application to Mechanics, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.