Vector - 3D Geometry, Lecture notes of Mathematics

Subject- Mathematics - 3D vector geometry Year - 2025 Prof. - IIT BHU graduate Table of Contents, 1. Basic Formulas - Distance, section, midpoint, centroid 2. Distance of a point from Coordinate planes and axis 3. - Direction Ratios of Cosines 4. Equation of Straight lines - Vector and cartesian form 5. Angle between two Straight Lines 6. Parametric Coordinates 7. Point of intersection 8. Foot of perpendicular and Image from point to line 9. Skew Lines 10. Coplanarity 11. Equation of planes - One point form, 3 point form, Plane containing two intersecting lines, plane containing 2 parallel lines, Normal form, Intercept form 12. Perpendicular Distance from plane 13. Distance between 2 parallel planes 14. Solving Line and plane 15. Projection of line segment on plane 16. Angle between two planes 17. Angle between two lines 18. Angle between line and planes 19. Family of Planes 20. Angle Bisector 21. Eqn of straight line in unsymmetrical form 22. Eqn of sphere and general eqn