Practice Distance Between Two Points In Space (2) - 3D Geometry - IB 10 Mathematics

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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.
Find the distance between points E(0, 0, 0) and F(1, 1, 1).
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Use the distance formula.
Question 2.
What is the distance between points G(1, 2, 3) and H(1, 2, 0)?
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Consider only the z-coordinate in your calculation.
3Question 3.
What is the distance formula in 3D geometry?
- d = √((x2 − x1)² + (y2 − y1)²)
- d = √((x2 − x1)² + (y2 − y1)² + (z2 − z1)²)
- d = (x2 − x1) + (y2 − y1) + (z2 − z1)
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Remember to consider all three dimensions.
4Question 4.
True or False: The distance between two points can be negative.
- True
- False
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Think about the nature of distance.
Question 5.
Determine the distance between points Q(5, 6, 7) and R(-3, -2, 8).
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Keep track of negative signs when computing differences.
Question 6.
Find the distance between points S(0, 0, 0) and T(1, 1, 1, 1). Is T a valid point in 3D space?
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Think about the dimensions required for valid 3D points.

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