Practice Lines - 1.2 | Transformations | Computer Aided Design & Analysis
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the matrix representation of a point in 2D?

💡 Hint: Think about how coordinates are structured in a vector.

Question 2

Easy

How do we express a line in 2D?

💡 Hint: Recall the standard form of a line.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does a line in 2D typically get represented by?

  • \\( ax + by + c = 0 \\)
  • \\( y = mx + b \\)
  • \\( x^2 + y^2 = r^2 \\)

💡 Hint: Recall the forms used to depict straight lines.

Question 2

In homogeneous coordinates, what is the value of w for a typical point?

  • True
  • False

💡 Hint: What is the extra dimension used for?

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

If a point at \((2, 3)\) undergoes a translation of \((3, 5)\), what is its new position?

💡 Hint: Add the translation values to the respective coordinates.

Question 2

Given a line defined as \(2x + 3y - 6 = 0\), how would you represent it in vector form?

💡 Hint: Start with the point intercept form; identify points satisfying the equation.

Challenge and get performance evaluation