Practice Applications in CAD/CAM - 6 | Transformations | Computer Aided Design & Analysis
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Applications in CAD/CAM

6 - Applications in CAD/CAM

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is a transformation matrix?

💡 Hint: Think about how we can change an object’s position or size.

Question 2 Easy

Name a type of 2D transformation.

💡 Hint: Consider the basic ways to manipulate shapes.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What type of matrix is used for 2D transformations?

2x2
3x3
4x4

💡 Hint: The dimensions of the matrix reflect the degrees of freedom in 2D space.

Question 2

True or False: Concatenation of matrices is commutative.

True
False

💡 Hint: Consider the different results you would get if the order changes.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a point (2, 3) and a translation matrix [[1, 0, 3], [0, 1, 4], [0, 0, 1]], what are the new coordinates of the point after translation?

💡 Hint: Apply the translation matrix to the point using matrix multiplication.

Challenge 2 Hard

How would you concatenate a reflection over the x-axis with a rotation of 90 degrees? Write down both matrices and perform the concatenation.

💡 Hint: Perform matrix multiplication in the correct order to get the combined transformation.

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