Practice - Section Formula in 3D
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Practice Questions
Test your understanding with targeted questions
What are the coordinates of point P that divides A(1, 2, 3) and B(4, 5, 6) in the ratio 1:2?
💡 Hint: Use the formula P = (mx2 + nx1)/(m+n) for each coordinate.
Given A(0, 0, 0) and B(2, 2, 2), where point P divides the segment in the ratio 1:1, what are the coordinates of P?
💡 Hint: Both coordinates are the same since the ratio is equal.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does the Section Formula calculate?
💡 Hint: Think about how we find points between two coordinates.
If a point P divides the line segment joining A(3, 2, 5) and B(5, 4, 7) in the ratio 1:2, is P closer to A or B?
💡 Hint: Evaluate the ratio given.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given two points A(2, 4, 6) and B(10, 14, 18), find point P dividing the segment in the ratio 2:3.
💡 Hint: Remember to add up m+n correctly.
How can you find the section point P for A(0, 0, 0) and B(1, 3, 5) in the ratio of 1:1? Show all working steps.
💡 Hint: Simplify each calculation carefully; equal ratios make it straightforward.
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