Practice Introduction To Three-dimensional Geometry (7) - Introduction to Three-Dimensional Geometry

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9 questions

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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.
Identify the coordinates of point A in space: A(2, 0, 3)
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Recall that every point in 3D is defined by three coordinates.
Question 2.
What are the coordinates of the origin in three-dimensional space?
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Think about how the axes intersect.
3Question 3.
What is the distance between points (1, 2, 3) and (4, 5, 6)?
- 5
- 6
- 7
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Recall the distance formula from 3D geometry.
4Question 4.
True or False: A point with coordinates (0, 0, 0) is located at the origin in 3D space.
- True
- False
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Think about where all axes intersect.
Question 5.
Find the coordinates of the point that divides the line segment between points A(1, 0, 2) and B(5, 4, 6) in the ratio of 3:2, and calculate the distance from this point to the origin.
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Apply the section formula to find R, then use the distance formula to get the answer.
Question 6.
Verify whether point R(2, -1, 3) lies on the plane defined by the equation 3x - 2y + z = 8.
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Plug the coordinates into the plane's equation and check for equality.

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