Unit vectors and resultants

Apply unit vectors and vector resultants to plane motion, wind, river crossings and balanced forces. Start with normalization and component construction, then combine vectors in a stated reference frame and solve for an unknown heading, speed or balancing force.

This precalculus practice set mixes single-select and select-all questions with progressive reasoning demands. Detailed explanations preserve units, distinguish scalar speed from vector velocity, and verify each result by adding its components back into the model. All motion and force data are idealized, and each context states the directions or frame needed for a well-defined calculation.