Vector Algebra

This topic covers concepts such as Vector, Vector and Scalar Quantities, Representations of a Vector, Magnitude and Direction of a Vector, Direction Cosines and Direction Ratios of a Vector, Types of Vectors, Zero Vector, 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, Polygon Law for Addition of More than Two Vectors, etc.

This topic covers concepts such as Position Vector, Vector Joining Two Points in 3D Space, and Section Formula in 3D: 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, Magnitude and Direction of Cross Product of Two Vectors, Properties of Cross Product of Two Vectors, Geometrical Interpretation of Cross Product, etc.

This topic covers concepts such as Scalar Triple Product, Magnitude of Scalar Triple Product of Three Vectors, Geometrical Interpretation of Scalar Triple Product, Volume of a Parallelepiped with Given Concurrent Edges, 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, and Solving Vector Equations.