Block: Geometry INDEX Introduction Objectives Application of vectors to geometric problems I Application of vectors to geometric problems II Equation of a straight line I Equation of a straight line II The angle between two lines. Distance between two points. Distance from a point to a line. Problems with parametric lines I Problems with parametric lines II Explicit equation of a line I Gradient Explicit equation of a line II Position of two lines Ellipse Problems
ANALYTICAL GEOMETRY
INTRODUCTION

In this unit we will approach the study of the straight line in a plane considering thoroughly the necessary concepts to do so.

We will be working with numerical and geometric elements to find algebraically the concepts associated with the study in a plane.

In some places geometry will be contemplated where it can be shown how an analytical method can be used to simplify geometric concepts.

OBJECTIVES
• To understand the concept of a vector and to use them analytically.
• To obtain the equation of a straight line in the plane in its different forms.
• To determine the position relative to two lines of the plane.
• To find the size of angle which they form.
• To calculate the distance between two points, a point and a line and between two lines in the plane.
• Apply the vector calculation to solve simple geometric problems: mid point of a segment.
• Develop adequate flexibility to approach geometric situations form different view points.
• To find the equations of some geometric loci.

 Ángela Núñez Castaín
 Ministry of Education, Social Afairs and Sport. Year 2001