Systems of equations 3x3
Plot the point (2,5,-3) by entering it on the input line. You can zoom in and out on the axes to adjust to get a better view of your point.
Select the move tool(arrow) you can now rotate your 3D plane around and see from different views, give it a try. While moving the 3D graph around determine which axes are which.
Match the x,y and z axes with their appropriate color.
Create your own plane. Input an equation with three variables on the input line of the next graphing window.
Right click on you plane and go through settings to change the color of the plane. Then use the intersection of two surfaces tool to find the intersection of your plane and the one that was on the graph already. Then plot a point that you know satisfies your equation by typing it in the next input line.
Plot a point that is not on the plane that you created using the point tool, then use the line tool to connect this point and the point you put on your plane. Make sure to use the arrow tool and move your graph around and look at it from different angles.
Solve the system of equations
Enter your solution to the above system here as an ordered triple.
Graph the system of equations that you just solved and change the color of each plane so that you can see a bit better.
Use the arrow tool and see if you can locate the solution to the system visually. After you think you have it enter you solution on the next input line and see if you were correct.
Enter the system of equations on the next graph and see if you can visualize the solution.
After you have located the solution visually use the intersection of two planes and see if you are correct.
Given the point , create a system of three equations and three variables that has this point as a solution then graph both the solution and your system on the graph to check your work.