Practice Coordinate System In 3d Space (1) - 3D Geometry - IB 10 Mathematics

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9 questions

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3 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 the origin in a 3D coordinate system?
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Think about where all axes intersect.
Question 2.
How do you represent a point in 3D space?
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Recall how we name points in 2D but add one more axis.
3Question 3.
What is the distance formula in 3D?
- d = √((x2 - x1)² + (y2 - y1)² + (z2 - z1)²)
- d = √((x1 - x0)² + (y1 - y0)²)
- d = √((x2 + x1)² - (y2 + y1)²)
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Think about the distance we calculated earlier.
4Question 4.
True or False: The coordinates of the midpoint of A(2, 4, 6) and B(4, 8, 10) is (3, 6, 8).
- True
- False
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Remember to average the coordinates.
Question 5.
Given points E(2, 2, 2) and F(4, 4, 4), calculate the distance between them and the midpoint.
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Use the distance formula and midpoint definition we covered.
Question 6.
If point G divides the segment from H(1, 4, 7) to I(5, 6, 9) in the ratio 1:4, find the coordinates of G.
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Apply the section formula with the provided ratio.

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