Vector components, magnitude and direction

Build a geometric and algebraic foundation for vectors in the plane. Practice endpoint-to-component conversion, equal and opposite directed arrows, vector addition, scalar multiplication, magnitude and direction angles with explicit quadrant checks.

This precalculus extension includes an original coordinate diagram, travel contexts and both single-select and select-all questions. Worked explanations connect component calculations to geometry and separate displacement from distance traveled. Direction angles are measured counterclockwise from the positive horizontal axis unless stated otherwise; the zero vector is handled separately because it has no unique direction.