Introduction to Vectors, Graphics 2 and 3D views

In this lesson you will be introduced to how GeoGebra handles vectors, and learn about the Graphics 2 and 3D views.[br][br]Some examples of GeoGebra files are displayed in section 2 to give you a sense of what can be achieved.  You should then work through the skills and constructions section before trying the tasks.

Expanding cubics

CAS view

The CAS view can be used to perform algebraic techniques such as solving, factorising, expanding, differentiating and integrating.[br][br]Try entering some expressions and using the buttons.

Velocity vectors

Construction steps
[list=1][*]Add a slider and name it [b]t[/b].[br][/*][*]Using the input bar enter: [b]P=(2-4t,-8+8t)[/b]. [br][/*][*]Using the input bar enter: [b]v=(-4,8)[/b][br][/*][*]Select Vector from point (3rd menu) then select [b]P[/b] and [b]v[/b].[br][/*][*]Hide the vector at the origin and the point [b]P’[/b]. [br][/*][*]Using the input bar enter: [b]Speed=Length[v][/b][br][/*][/list]

Suggested tasks

Create GeoGebra worksheets that feature the use of CAS, Vectors and 3D views[br][br]Suggested ideas:[br][list][*]Factorised/expanded form of a cubic and its graph[br][/*][*]Relationship between functions and their derivatives/integrals[br][/*][*]Dynamic force diagrams with forces for vectors[br][/*][*]Vector equation of a line in 2D[br][/*][*]Vector/cartesian equation of a plane[br][/*][/list]