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**About this book :- **
**Elementary Vector Analysis with Application to Geometry & Physics ** written by
** C.E. Weatherburn**.

This book is a class-tested course content package for sure-shot success at the IIT-JEE. Each volume in this series is meticulously planned and structured to help the user imbibe and absorb concepts and apply them to IIT problems. This title follows a unique, user-friendly approach, with features such as Concept Strands, Concept Connectors, Topic Grip, IIT Assignment Exercise, which make the learning and application for the coveted IIT-JEE circuit both easy and enjoyable.

**Book Detail :- **
** Title: ** IIT JEE Super Course in Mathematics (Coordinate Geometry and Vector Algebra)
** Edition: **
** Author(s): ** Trishna Knowledge Systems
** Publisher: ** Trishna
** Series: **
** Year: **
** Pages: ** 366
** Type: ** PDF
** Language: ** Englsih
** ISBN: ** 9788131759837, 9789332511903
** Country: ** India
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** • Download PDF Advanced Vector Analysis with Application to Mathematical Physics by C.E. Weatherburn **

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**Book Contents :- **
**Elementary Vector Analysis with Application to Geometry & Physics ** written by
** C.E. Weatherburn**
cover the following topics.
'
**1. Straight Lines**

Coordinate Systems

Slope or Gradient of Straight Line

Interecepts of Straight Line

Point of Interesection of Two lines

Concurrency of Three Lines

Angle between two lines

Normal Form of the Equation of a line

Sign of ax+by+c

Length of perpendicular distance from a point (x1,y1) to the line ax+by+c=0

Equatons of bisectors of the angles between two straight lines whose equations are given.

Pair of straight lines

General equation of second degree in x and y.

change of origin

To obtain the coordinates of the points of interesction of the lines represented by ax2+by2+2hxy+2gx+2fy+c=0
**2. Study Material**

Circles and conic sections

Circles

Equatio of the tangent to a circle at a point on it.

Common Tangents to two circles

Orthogonal Circles

Conic Sections

Parabola

Ellipse

Hyperbola

Conjugate Hyperpola

Rectangular Hyperbola

Introduction to vectors

Three dimensional coodinate system

Components of a vector along the axes of a rectagular cartesian coordinate system

Product of vectors

Scalar product or dot product or Inner product of two vectors

Vector porduct or corss product of two vectors

Scalar and vector products involving more than two vectors

Products of four vectors

Three dimensional geometry

Plane

Straight Lines

Consistency of a non homogeneous linear system of equations

Vector algebra

Three dimenstional geometry.

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