Graphing 2D Vector Fields with Calc Plot 3D

Graphing 2D Vector Fields with Calc Plot 3D

Assessment

Interactive Video

Mathematics, Computers, Education, Instructional Technology

9th - 12th Grade

Practice Problem

Hard

Created by

Aiden Montgomery

FREE Resource

This lesson demonstrates how to graph 2D vector fields using Calc Plot 3D. It covers the process of entering vector components, customizing the graph by adjusting vector scaling and density, and graphing various vector fields with different mathematical expressions. The tutorial also highlights features like flow lines and color customization, providing a comprehensive guide to visualizing vector fields effectively.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in graphing a vector field using Calc Plot 3D?

Select a color for the vectors

Adjust the scaling

Clear the default graph

Enter the vector components

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you enter the x component for the first vector field?

m = 0

m = -x

m = y

m = x

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when you change the scaling factor from 4 to 2?

Vectors disappear

Vectors get shorter

Vectors get longer

Vectors change color

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y component for the second vector field?

y = -x

y = 1

y = x

y = 0

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you change the color of the vectors in the graph?

By selecting a different graph type

By changing the vector components

By clicking the bar next to n and p

By adjusting the scaling

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the x component of the complex vector field?

x^2 - y^2 - 4

x^2 - y^2 + 4

x^2 + y^2 + 4

x^2 + y^2 - 4

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the effect of changing the scaling factor to 8 for the complex vector field?

Vectors disappear

Vectors become longer

Vectors become shorter

Vectors change direction

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