Practice Homogeneous Coordinates - 3.1 | Transformations | Computer Aided Design & Analysis
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Homogeneous Coordinates

3.1 - Homogeneous Coordinates

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What are homogeneous coordinates?

💡 Hint: Think about how they help in calculations.

Question 2 Easy

Give an example of a point in 2D using homogeneous coordinates.

💡 Hint: Remember to include the extra dimension.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What do homogeneous coordinates allow us to do?

Increase dimensionality
Decrease computational efficiency
Eliminate transformations

💡 Hint: Think about the benefits of having more dimensions.

Question 2

True or False: The order of matrix multiplication does not matter in transformations.

True
False

💡 Hint: What happens if you reverse the steps?

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given points A(2,3) and B(4,5), find the translation matrix to move A by (1,2) and apply it to A. What is the new homogeneous coordinate?

💡 Hint: Remember to apply the transformation as a matrix operation.

Challenge 2 Hard

If a point (1,1) is rotated 90 degrees around the origin, what are its new coordinates in homogeneous form?

💡 Hint: Use the angle to set up the rotation matrix.

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