Practice Section Formula In 3d (3) - 3D Geometry - IB 10 Mathematics

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9 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What are the coordinates of point P that divides A(1, 2, 3) and B(4, 5, 6) in the ratio 1:2?
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Use the formula P = (mx2 + nx1)/(m+n) for each coordinate.
Question 2.
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?
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Both coordinates are the same since the ratio is equal.
3Question 3.
What does the Section Formula calculate?
- Finds distance
- Divides a line segment
- Calculates area
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Think about how we find points between two coordinates.
4Question 4.
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?
- True
- False
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Evaluate the ratio given.
Question 5.
Given two points A(2, 4, 6) and B(10, 14, 18), find point P dividing the segment in the ratio 2:3.
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Remember to add up m+n correctly.
Question 6.
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.
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Simplify each calculation carefully; equal ratios make it straightforward.

5 more questions in this section. Enroll free to practise them all.