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Scalar and Vector Quantities

Scalar and Vector Quantities

Problem-Scalar and Vector Quantities

Problem-Scalar and Vector Quantities

Terminologies and Notations of Vectors

Terminologies and Notations of Vectors

Properties of Magnitude of Vector

Properties of Magnitude of Vector

Properties of Magnitude of Vector

Properties of Magnitude of Vector

Problem-Properties of Magnitude of Vector

Problem-Properties of Magnitude of Vector

Problem-Properties of Magnitude of Vector

Problem-Properties of Magnitude of Vector

Equal Vectors

Vectors which are Opposite

Vectors which are Opposite

Problem-Vectors which are Opposite

Problem-Vectors which are Opposite

Column Vectors

Addition of Vectors

Addition of Vectors

Problem-Addition of Vectors

Problem-Addition of Vectors

Vector Addition is Associative

Vector Addition is Associative

Problem-Vector Addition is Associative

Problem-Vector Addition is Associative

Zero Vectors

Subtraction of Vectors

Subtraction of Vectors

Problem-Subtraction of Vectors

Problem-Subtraction of Vectors

Scalar Multiple of a Vector

Scalar Multiple of a Vector

Problem-Scalar Multiple of a Vector

Problem-Scalar Multiple of a Vector

Expression of a Given Vector in Terms of two Vectors

Expression of a Given Vector in Terms of two Vectors

Problem-Expression of a Given Vector in Terms of two Vectors

Problem-Expression of a Given Vector in Terms of two Vectors

Position Vectors

Position Vectors

Problem-Position Vectors

Problem-Position Vectors

Parallel Vectors

Parallel Vectors

Parallel Vectors

Parallel Vectors

Problem-Parallel Vectors

Problem-Parallel Vectors

Problem-Parallel Vectors

Problem-Parallel Vectors

More on Notation for Representing Vectors in Plane

More on Notation for Representing Vectors in Plane

Problem-Notation for Representing Vectors in Plane

Problem-Notation for Representing Vectors in Plane

Components of a Vector

Components of a Vector

Properties of Vectors in Plane

Properties of Vectors in Plane

More on Properties of Vectors in Plane

More on Properties of Vectors in Plane

A Unit Vector in the Direction of Another Vector

A Unit Vector in the Direction of Another Vector

Problem-A Unit Vector in the Direction of Another Vector

Problem-A Unit Vector in the Direction of Another Vector

Notation for Vectors in Coordinate System

Notation for Vectors in Coordinate System

Problem-Notation for Vectors in Coordinate System

Problem-Notation for Vectors in Coordinate System

Mid-Point Theorem By Vectors

Mid-Point Theorem By Vectors

Diagonals of Parallelogram Bisect Each Other by Vectors

Diagonals of Parallelogram Bisect Each Other by Vectors

Ratio Theorem By Vectors

Ratio Theorem By Vectors

Problem-Ratio Theorem By Vectors

Problem-Ratio Theorem By Vectors

Concept of Vector in Space

Concept of Vector in Space

More on Vectors in Space

More on Vectors in Space

Problem-Concept of Vector in Space

Problem-Concept of Vector in Space

Properties of Vectors

Properties of Vectors

Problem-Properties of Vectors

Problem-Properties of Vectors

Vectors Addition in Space

Vectors Addition in Space

Problem-Vectors Addition in Space

Problem-Vectors Addition in Space

Scalar Multiplication in Space

Scalar Multiplication in Space

Problem-Scalar Multiplication in Space

Problem-Scalar Multiplication in Space

Notation of Vectors in Space

Notation of Vectors in Space

Problem-Notation of Vectors in Space

Problem-Notation of Vectors in Space

Distance Between Two Points in Space

Distance Between Two Points in Space

Distance Between Two Points in Space

Distance Between Two Points in Space

Problem-Distance Between Two Points in Space

Problem-Distance Between Two Points in Space

Problem-Distance Between Two Points in Space

Problem-Distance Between Two Points in Space

Direction Angles and Direction Cosines of Vector

Direction Angles and Direction Cosines of Vector

Problem-Direction Angles and Direction Cosines of Vector

Problem-Direction Angles and Direction Cosines of Vector

Direction Numbers or Direction Ratios

Direction Numbers or Direction Ratios

Problem-Direction Numbers or Direction Ratios

Problem-Direction Numbers or Direction Ratios

Collinear and Coplanar Vectors

Collinear and Coplanar Vectors

Problem-Collinear and Coplanar Vectors

Problem-Collinear and Coplanar Vectors

The Ratio Formula in Vector

The Ratio Formula in Vector

Problem1-The Ratio Formula in Vector

Problem1-The Ratio Formula in Vector

Problem2-The Ratio Formula in Vector

Problem2-The Ratio Formula in Vector

Introducing Vector Geometry

Introducing Vector Geometry

Problem-Introducing Vector Geometry

Problem-Introducing Vector Geometry

Scalar Product of Two Vectors

Scalar Product of Two Vectors

Problem-Scalar Product of Two Vectors

Problem-Scalar Product of Two Vectors

Perpendicular Vectors

Perpendicular Vectors

Problem-Perpendicular Vectors

Problem-Perpendicular Vectors

Scalar Product of Vectors in Their Component Form

Scalar Product of Vectors in Their Component Form

Problem-Scalar Product of Vectors in Their Component Form

Problem-Scalar Product of Vectors in Their Component Form

Properties of Scalar Product

Properties of Scalar Product

More on Properties of Scalar Product

More on Properties of Scalar Product

Problem-Properties of Scalar Product

Problem-Properties of Scalar Product

Angle Between Two Vectors

Angle Between Two Vectors

Problem-Angle Between Two Vectors

Problem-Angle Between Two Vectors

Projection of One Vector Upon Another Vector

Projection of One Vector Upon Another Vector

Problem-Projection of One Vector Upon Another Vector

Problem-Projection of One Vector Upon Another Vector

Application of Scalar Product

Application of Scalar Product

Problem-Application of Scalar Product

Problem-Application of Scalar Product

Cross Product of Two Vectors

Cross Product of Two Vectors

Cross Product of Two Vectors

Cross Product of Two Vectors

Cross Product of Unit Vectors

Cross Product of Unit Vectors

Cross Product of Unit Vectors

Cross Product of Unit Vectors

Problem-Cross Product of Two Vectors

Problem-Cross Product of Two Vectors

Problem-Cross Product of Two Vectors

Problem-Cross Product of Two Vectors

Derivation of Useful Results of Cross Product

Derivation of Useful Results of Cross Product

Problem-Derivation of Useful Results of Cross Product

Problem-Derivation of Useful Results of Cross Product

Expression of Cross Product in Terms of Components

Expression of Cross Product in Terms of Components

Analytical Expression of Cross Product

Analytical Expression of Cross Product

Problem-Expression of Cross Product in Terms of Components

Problem-Expression of Cross Product in Terms of Components

Properties of Cross Product

Properties of Cross Product

More on Properties of Cross Product

More on Properties of Cross Product

Problem-Properties of Cross Product

Problem-Properties of Cross Product

Vectors Application to Geometry

Vectors Application to Geometry

Problem1-Vectors Application to Geometry

Problem1-Vectors Application to Geometry

Problem2-Vectors Application to Geometry

Problem2-Vectors Application to Geometry

Moment of Force

Moment of Force

Problem-Moment of Force

Problem-Moment of Force

Scalar Triple Product

Scalar Triple Product

Problem-Scalar Triple Product

Problem-Scalar Triple Product

Analytical Expression of Triple Product

Analytical Expression of Triple Product

Problem-Analytical Expression of Triple Product

Problem-Analytical Expression of Triple Product

Volume of Parallelepiped by Triple Product

Volume of Parallelepiped by Triple Product

Problem-Volume of Parallelepiped by Triple Product

Problem-Volume of Parallelepiped by Triple Product

Volume of Tetrahedron by Triple Product

Volume of Tetrahedron by Triple Product

Problem-Volume of Tetrahedron by Triple Product

Problem-Volume of Tetrahedron by Triple Product

Properties of Triple Scalar Product

Properties of Triple Scalar Product

Problem-Properties of Scalar Triple Product

Problem-Properties of Scalar Triple Product

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