Vector Algebra

This topic covers concepts such as Free and Localised Vectors, Coinitial Vectors, Coplanar Vectors, Collinear Vectors, Vector and Scalar Quantities, Representations of a Vector, Types of Vectors, Zero Vector, Unit Vector, Properties of Vectors, etc.

This topic covers concepts such as Addition and Subtraction of Vectors, Addition of Vectors, Triangle Law for Addition of Two Vectors, Parallelogram Law for Addition of Two Vectors, Sum of Vectors in Cartesian Form, etc.

This topic covers concepts such as Position Vector, Vector Joining Two Points, and Section Formula : Vector Form.

This topic covers concepts such as Angle between the Two Vectors, Dot Product of Two Vectors, Magnitude of Dot Product of Two Vectors, Properties of Dot Product of Two Vectors, Geometrical Interpretation of Scalar Product, etc.

This topic covers concepts such as Cross Product of Two Vectors, Properties of Cross Product of Two Vectors, Geometrical Interpretation of Cross Product, Area of a Parallelogram with given Sides, Application of Vectors in Physics etc.

This topic covers concepts such as Scalar Triple Product, Magnitude of Scalar Triple Product of Three Vectors, Geometrical Interpretation of Scalar Triple Product, Vector Triple Product, Geometrical Interpretation of Vector Triple Product, etc.

This topic covers concepts such as Linear Combination of Vectors, Fundamental Theorem in Plane, Fundamental Theorem in Space, Linear Independent and Dependent Vectors, Condition for Linear Independence of Vectors, Solving Vector Equations, etc.