Practice Distance Between Two Points (2) - Three Dimensional Geometry

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9 questions

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Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Find the distance between points (1, 1, 1) and (4, 5, 6).
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Use the distance formula.
Question 2.
Calculate the distance between (2, 2, 2) and (2, 2, 2).
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Same coordinates means no distance.
3Question 3.
What is the formula to calculate the distance between two points in 3D?
- a) √((x₂ - x₁)² + (y₂ - y₁)²)
- b) √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)
- c) (x₂ - x₁) + (y₂ - y₁) + (z₂ - z₁)
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Consider the dimensions you are working with.
4Question 4.
The distance between two identical points is ____.
- True
- False
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Think about the definition of distance.
Question 5.
Find the distance between A(1, 2, 3) and B(4, 6, 8) using the formula. Explain each step taken.
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Pay attention to each coordinate's difference.
Question 6.
Two points P(−2, −2, 4) and Q(0, 0, −1) are given. Determine the distance and describe the calculation techniques utilized.
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Ensure correct value entry for each coordinate.

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