In this task, we are going to show how any two vectors are at right angles to each other by using patterns with vectors.

The first 200 words of this essay...

Introduction

In this task, we are going to show how any two vectors are at right angles to each other by using patterns with vectors.

This will be achieved by firstly plotting two vectors and discussing any similarities and difference between them. Then two randomly selected points will be chosen and a line drawn through them. Different ways of representing this vector will be explained. Finally, the general form of a vector equation will be used to determine and prove how two vectors are perpendicular to each other.

The use of the Geogebra computer software will be used to graph each vector although the methods used will be explained.

Vectors are used to display the magnitude and direction for a path of an object. Examples include velocity, acceleration, force, displayment, momentum and weight. A vector can be written in 3 different forms:

Velocity vector:

Parametric equation: x= a+ct y=b+dt

Cartesian equation:

Vector can be drawn with an initial point (a, b) and then a direction vector . The line that goes through the set of points has an arrow at the end to show its direction.

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