Notes (Solutions) of Unit 07: Vectors, Calculus and Analytic Geometry, MATHEMATICS 12 (Mathematics FSc Part 2 or HSSC-II), Punjab Text Book Board Lahore. You can view online or download PDF. To view PDF, you must have PDF Reader installed on your system and it can be downloaded from Software section.
Introduction
Geometric Interpretation of Vector
Multiplication of Vector by a Scalar
Addition and Subtraction of two vectors
Position Vector
Vector in Plane
Properties of Magnitude of a Vector
Another Notation for representing Vectors in Plane
AUnit Vector in the Direction of another given Vector
The Ratio Formula
Vector Geometry
Exercise 7.1
Introduction of Vector in Space
Concept of a Vector in Space
Properties of Vector
Another notation for representing Vectors in Space
Distance between two Points in Space
Direction Angles and Direction of a Vector
Exercise 7.2
The Scalar Product of Two Vectors
Deductions of the Important Results
Perpendicular (Orthogonal) Vectors
Properties of Dot Product
Analytically Expression of Dot Product $u\cdot v$
Angle between two Vectors
Projection of One Vector upon another Vector
Exercise 7.3
The Cross Product or Vector Product of two Vectors
Derivation of useful results of Cross Product
Properties of Cross Product
Analytically Expression of $u\times v$
Parallel Vector
Area of Parallelogram
Area of Triangle
Exercise 7.4
Scalar Triple Product of Vectors
Analytically Expression of $u\cdot(v\times w)$
The Volume of the Tetrahedron
Application of Vectors in Physics and Engineering
Exercise 7.5