Practice - Introduction to Three-Dimensional Geometry
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Practice Questions
Test your understanding with targeted questions
Identify the coordinates of point A in space: A(2, 0, 3)
💡 Hint: Recall that every point in 3D is defined by three coordinates.
What are the coordinates of the origin in three-dimensional space?
💡 Hint: Think about how the axes intersect.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the distance between points (1, 2, 3) and (4, 5, 6)?
💡 Hint: Recall the distance formula from 3D geometry.
True or False: A point with coordinates (0, 0, 0) is located at the origin in 3D space.
💡 Hint: Think about where all axes intersect.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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