Why 3D plots show complex relationships in MATLAB - Test Your Understanding

Practice - 5 Tasks

1fill in blank

easy

Complete the code to create a 3D plot using the plot3 function.

MATLAB

x = 1:10;
y = sin(x);
z = cos(x);
plot3(x, y, [1]);
grid on;

Drag options to blanks, or click blank then click option'

Asin(x)

Bx

Cy

Dz

Attempts:

3 left

💡 Hint

Common Mistakes

Using y instead of z for the third argument.

Passing a function call instead of a variable.

The plot3 function requires x, y, and z coordinates. Here, z is the third dimension.

2fill in blank

medium

Complete the code to label the axes of the 3D plot correctly.

MATLAB

xlabel('X-axis');
ylabel('Y-axis');
zlabel([1]);

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A'Z-axis'

B'X-axis'

C'Y-axis'

D'Depth'

Attempts:

3 left

💡 Hint

Common Mistakes

Labeling the z-axis as 'X-axis' or 'Y-axis'.

Using an incorrect string without quotes.

The z-axis label should be 'Z-axis' to correctly describe the third dimension.

3fill in blank

hard

Fix the error in the code to plot a 3D curve with proper data vectors.

MATLAB

t = linspace(0, 2*pi, 100);
x = sin(t);
y = cos(t);
z = t;
plot3(x, y, [1]);
grid on;

Drag options to blanks, or click blank then click option'

At

Bsin(t)

Cy

Dcos(t)

Attempts:

3 left

💡 Hint

Common Mistakes

Passing y or cos(t) instead of z data.

Using a function call instead of the variable.

The variable z should be passed as the third argument to plot3 to represent the third dimension.

4fill in blank

hard

Fill both blanks to create a 3D scatter plot with colored points based on z values.

MATLAB

x = randn(1, 50);
y = randn(1, 50);
z = randn(1, 50);
scatter3(x, y, [1], 36, [2], 'filled');

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Az

Bx

Dy

Attempts:

3 left

💡 Hint

Common Mistakes

Using x or y instead of z for the third coordinate.

Setting color to a coordinate that doesn't represent depth.

The scatter3 function uses x, y, and z coordinates. The color is often set by the z values to show depth.

5fill in blank

hard

Fill all three blanks to create a mesh grid and plot a 3D surface showing a complex relationship.

MATLAB

[X, Y] = meshgrid(-2:0.2:2, -2:0.2:2);
Z = [1](X) .* [2](Y);
surf(X, Y, Z);
title('[3]');

Drag options to blanks, or click blank then click option'

Asin

Bcos

CSine times Cosine surface

Dtan

Attempts:

3 left

💡 Hint

Common Mistakes

Using tan which can cause undefined values.

Incorrect title string or missing function calls.

The surface Z is created by multiplying sin(X) and cos(Y), showing a complex wave pattern. The title describes the plot.