Practice Distance Between Two Points In Space (7.4) - Introduction to Three-Dimensional Geometry

Practice: Distance Between Two Points in Space

Lesson 7.4Introduction to Three-Dimensional Geometry

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8 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
2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the distance between the points (0, 0, 0) and (1, 1, 1)?
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Use the distance formula with coordinates.
Question 2.
Calculate the distance from A(1, 2, 3) to B(1, 2, 4).
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Consider only the z-coordinates.
3Question 3.
What is the formula to calculate the distance between points in 3D space?
- 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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Think about the three axes used in 3D space.
4Question 4.
To find the distance from point A(2, 3, 5) to point B(2, 3, 7), the distance is ___?
- True
- False
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Only the z-coordinates matter here.
Question 5.
If point A is (1, 1, 1) and point B is (4, 5, 6), calculate the distance and express it in simplified radical form.
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Use the distance formula carefully and simplify after calculating.
Question 6.
Point C is located at (3, -4, 8) and point D at (3, 0, 8). Find the distance between them.
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Notice that two coordinates remain the same.

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