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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is the distance between the points (0, 0, 0) and (1, 1, 1)?
💡 Hint: Use the distance formula with coordinates.
Question 2
Easy
Calculate the distance from A(1, 2, 3) to B(1, 2, 4).
💡 Hint: Consider only the z-coordinates.
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 is the formula to calculate the distance between points in 3D space?
- d = √[(x₂ - x₁)² + (y₂ - y₁)²]
- d = √[(x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²]
- d = (x₂ - x₁) + (y₂ - y₁) + (z₂ - z₁)
💡 Hint: Think about the three axes used in 3D space.
Question 2
To find the distance from point A(2, 3, 5) to point B(2, 3, 7), the distance is ___?
- True
- False
💡 Hint: Only the z-coordinates matter here.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
If point A is (1, 1, 1) and point B is (4, 5, 6), calculate the distance and express it in simplified radical form.
💡 Hint: Use the distance formula carefully and simplify after calculating.
Question 2
Point C is located at (3, -4, 8) and point D at (3, 0, 8). Find the distance between them.
💡 Hint: Notice that two coordinates remain the same.
Challenge and get performance evaluation