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, and Zero Vector.

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, and Polygon Law for Addition of More than Two Vectors.

This topic covers concepts such as Dot Product of Two Vectors, Magnitude of Dot Product of Two Vectors, Properties of Dot Product of Two Vectors, Geometrical Interpretation of Scalar Product, and Projection of a Vector on Another Vector.

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

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

This topic covers concepts such as Resolution of a Vector in a Plane and Resolution of a Vector along Three Non-coplanar Vectors.

This topic covers concepts such as Equation of Line in Vector Form, Equation of Line in Vector Form when Point and Direction Is Given, Equation of Line in Vector Form Passing through Two Given Points, and Interaction between Two Lines in Vector Form.