1 Math 4A CalcPlot3D Lab 01 Topic: Graphing Points, Line Segments, and Planes and a Typical Normal line. Go to the website to access the CalcPlot3D app. CalcPlot3D - Monroe Community College https://www.monroecc.edu/faculty/paulseeburger/calcnsf/CalcPlot3D/ Objective: The goal of Lab 01 is to introduce the student to CalcPlot3D, plot points, line segments, planes, and a specified line normal to the plane 1) To plot points represented by the vertices, go to 2) Select and pull down the menu to select Point(x,y,z). Enter the coordinated of your desired point and resize it so as to make it more visible. You can also visit these introduction videos. https://www.youtube.com/watch?v=mhuLEwtlXbI https://www.youtube.com/watch?v=HWOMz3eHE7Q 3) You can plot the plane with z = f(x,y) or implicitly. To plot line segments, go to Select and pull down the menu to select Space Curve: r(t), then enter the direction numbers and a fixed point for the line. Be sure to define the domain of the parameter so that the result is the side of a triangle. Do this for all three sides. DELIVERABLE Given points, A(3,4,0), B(-5, -2, -3), and C(-4, 3, 4), Plot the ABC, Plot the plane that contains ABC, Plot the normal line to the plane that contains vertex A. Adjust the orientation of the graph so that all that is requested is clearly visible. 1) 2) 3) CalcPlot3D Lab Grading Criteria: Lab 01 DUE DATE: due date linked to Assignment 2 Math 4A CalcPlot3D Lab 01 Topic: Graphing Points, Line Segments, and Planes and a Typical Normal line. In addressing the logic to how your final image created, I would like to have you describe your procedure: 1. I first need to plot the three points A, B, and C by using the plot points option. 2. To create triangle ABC, I need to graph the line segments from three lines. This requires a fixed point and ⃗⃗⃗⃗⃗ , 𝐴𝐶 ⃗⃗⃗⃗⃗ , and 𝐵𝐶 ⃗⃗⃗⃗⃗ . The sides of the triangle are segments so I the direction vector for each of the three lines, 𝐴𝐵 will need to do that by . . . 3. Now I need to determine the equation of the plane and use the Implicit Function option to enter the equation of the plane. This is how I determine the equation of the plane: 4. I have to plot the line in the direction of the normal at the point A(3,4,0) by doing the following: 5. Everything looks good. Now all I need to doing is to select an orientation of the images that best reflects the completion of the requested tasks clearly and show all my equations and operations with the submission.
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