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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Identify the coordinates of point A in space: A(2, 0, 3)
💡 Hint: Recall that every point in 3D is defined by three coordinates.
Question 2
Easy
What are the coordinates of the origin in three-dimensional space?
💡 Hint: Think about how the axes intersect.
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 distance between points (1, 2, 3) and (4, 5, 6)?
- 5
- 6
- 7
💡 Hint: Recall the distance formula from 3D geometry.
Question 2
True or False: A point with coordinates (0, 0, 0) is located at the origin in 3D space.
- True
- False
💡 Hint: Think about where all axes intersect.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Find the coordinates of the point that divides the line segment between points A(1, 0, 2) and B(5, 4, 6) in the ratio of 3:2, and calculate the distance from this point to the origin.
💡 Hint: Apply the section formula to find R, then use the distance formula to get the answer.
Question 2
Verify whether point R(2, -1, 3) lies on the plane defined by the equation 3x - 2y + z = 8.
💡 Hint: Plug the coordinates into the plane's equation and check for equality.
Challenge and get performance evaluation