Vectors And GeometryNew Age International, 2002 - 164 sivua The Book Has Been Written Strictly According To Latest Unified Syllabi To T.D.C., B.Sc. First Year Of Madhya Pradesh Universities And Other Indian Universities. The Book Is Based On Vectors And Their Simple Application To Geometry. The Subject Matter Has Spread Out Into Five Chapters Which Discusses The Definition Of Vectors; Addition, Scalar Multiplications. It Also Provides An Idea About Scalar And Vector Products To Two And More Vectors.It Further Elaborates Vector Equation Of Straight Line, Bisector Of Angles Between Two Intersecting Straight Line And Other Related Aspects. Vector Equation Of A Circle, Equation To Tangent Lines And Tangent Planes Has Also Been Discussed In Detail. Besides These Topics, Equation To Cone With Given Base, Generators Of Cone, Perpendicular Generators And Equation Of A Cylinder And Its Properties Has Been Discussed By Classical Methods. Its Last Portion Is Devoted To Polar-Coordinates, Polar Equation To Straight Line, Circle, Polar Equation Of A Conic Etc. Sufficient Illustrative Examples Have Been Given On Each Aspect So That An Average Student Could Grasp The Subject Without Any Difficulty. Suitably Framed Problems Have Been Added At The End Of Each Chapter For Revision And Testing Of The Things Learnt. |
Sisältö
ALGEBRA OF VECTORS | 1 |
SPHERE 95112 | 95 |
CONES AND CYLINDERS 113133 | 113 |
6 | 122 |
POLAR EQUATION OF A CONIC SECTION | 134 |
Yleiset termit ja lausekkeet
0+cos 1+m+n 2i+k a=a₁ axis called centre circle coefficients collinear cone with vertex conic section coordinate axes coplanar diagonal directrix dot product equations of tangents Find the equation Find the locus find the vector focus given plane given point given sphere given vectors Hence the locus i j k i+j+k internal bisector length Let the equation Let the point linearly dependent magnitude parabola parallel parallelogram parallelopiped plane passing point of contact point of intersection point whose position point whose vectorial polar equation polar plane position vector Prove radius required equation required plane respectively right circular cone scalar product scalar triple product set of vectors shortest distance Show sin² Solution straight line passing tangent plane three vectors triangle ABC unit vector vector addition vector equation vector product vectorial angle vertex at origin zero