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Questions and Answers
Which of the following is the equation of a plane in three-dimensional space?
Which of the following is the equation of a plane in three-dimensional space?
- x - y + 2z = 3 (correct)
- y = mx + b
- x^2 + y^2 + z^2 = 1
- x + y + z = 1
What is the distance between the points (1, 2, 3) and (4, 5, 6)?
What is the distance between the points (1, 2, 3) and (4, 5, 6)?
- √27
- √6 (correct)
- √2
- √3
Which of the following is the equation of a sphere in three-dimensional space?
Which of the following is the equation of a sphere in three-dimensional space?
- x^2 + y^2 = 1
- x^2 + y^2 + z^2 = 1 (correct)
- x + y + z = 1
- y = mx + b
What is the equation of the line passing through the points (1,2,3) and (4,5,6)?
What is the equation of the line passing through the points (1,2,3) and (4,5,6)?
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What is the distance between the point (1,2,3) and the plane with equation 2x - 3y + 4z - 5 = 0?
What is the distance between the point (1,2,3) and the plane with equation 2x - 3y + 4z - 5 = 0?
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What is the equation of the sphere with center (2, -1, 3) and radius 4?
What is the equation of the sphere with center (2, -1, 3) and radius 4?
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