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.
What form does the solution to the intersection of the planes take?
Solve the system of equations[br][math]x+y+z=5[/math][br][math]x-2y+4z=-1[/math][br][math]3y+4z=-1[/math]
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 intersect tool to find the intersection of the planes. Does this intersection match your answer?
Enter the system of equations on the next graph and see if you can visualize the solution.[br][math]3x-3y+6z=6[/math][br][math]x+2y-z=5[/math][br][math]5x-8y+13z=7[/math]
After you have located the solution visually use the intersection of two planes and see if you are correct.
Given the point [math]\left(3,-4,2\right)[/math], 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.