SYLLABUS- GEOMETRY &amp; VECTOR ANALYSIS, PAPER III: GEOMETRY AND VECTOR ANALYSIS Polar Equation of conics: Polar coordinate system, Distance between two points, Polar equation of a Straight line, Polar equation of a circle, Polar equation of a conic, Chords, Tangent and Normal to a conic, Chord of contact, Polar of a point. Vector Algebra and its Applications to geometry (Plane and Straight Line): Triple product, Reciprocal vectors, Product of four vectors. General equation of a Plane, Normal and Intercept forms, Two sides of a plane, Length of perpendicular from a point to a plane, Angle between two planes, System of planes. Direction Cosines and Direction ratios of a line, Projection on a straight line, Equation of a line, Symmetrical and unsymmetrical forms, Angle between a line and a plane, Coplanar lines, Lines of shortest distance, Length of perpendicular from a point to a line, Intersection of three planes, Transformation of coordinates. Vector Differentiation: Ordinary differentiation of vectors, Applications to mechanics, Velocity and Acceleration, Differential operator-Del, Gradient, Divergence and Curl, Vector Integration: Line, Surface and volume integrals, Simple applications of Gauss divergence theorem,Green’s theorem and Stokes theorem (without proof).

Geometry & Vector Analysis PDF

The list of books you might like