Each learning path is one chapter: a guided route through a topic, one small course at a time. Pick a class to see its chapters in order.
A pilot flies north at 200 kilometres an hour, but a wind pushes her east. Where does she end up? The answer needs both a size and a direction, and a number alone cannot give it. A vector does. This chapter builds the algebra of vectors in the plane and in space: how to add them, scale them and split them at a point. Then it gives two ways to multiply them, the dot product for angles, projections and work, and the cross product for areas and volumes. It covers the unit of the Indian syllabus (NCERT, JEE Main) and the matching topics of A-Level, IB and AP. Python checks every number.