Mixed module checkpoint

Assess your understanding of vectors, parametric motion, polar coordinates, complex geometry and three-dimensional relationships in this mixed precalculus extension checkpoint. Problems deliberately mix representations and methods, with no instructional sequence or topic headings to cue the solution. Single-select and multiselect items use fresh situations and require you to choose a method, check restrictions and justify conclusions. Attempt the set independently before reading the detailed explanations, then use errors to select targeted practice. This compact checkpoint samples the module; it is not an exhaustive or certified mastery test.