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About Geometry & Vector Analysis
<span>SYLLABUS- GEOMETRY & VECTOR ANALYSIS,</span><br><span>PAPER III: GEOMETRY AND VECTOR ANALYSIS</span><br><span>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.</span><br><span>Vector Algebra and its Applications to geometry (Plane and Straight Line):</span><br><span>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.</span><br><span>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.</span><br><span>Vector Differentiation: Ordinary differentiation of vectors, Applications to mechanics, Velocity and Acceleration, Differential operator-Del, Gradient, Divergence and Curl,</span><br><span>Vector Integration: Line, Surface and volume integrals, Simple applications of Gauss divergence theorem,Green’s theorem and Stokes theorem (without proof).</span></br></br></br></br></br></br></br>
Detailed Information
| Author: | A.R. Vasishtha |
|---|---|
| Publication Year: | 2021 |
| Pages: | 331 |
| Language: | other |
| File Size: | 3.6183 |
| Format: | |
| Price: | FREE |
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