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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Find the distance from point A(0, 0, 0) to plane 2x + 2y + 2z + 6 = 0.
💡 Hint: Use the distance formula with A(0,0,0) coordinates.
Question 2
Easy
Calculate the distance from point B(1, 1, 1) to the plane given by x - y + z = 5.
💡 Hint: Insert B's coordinates into the formula.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the formula for the distance from a point to a plane?
💡 Hint: Think about how the plane's equation relates to the distance calculation.
Question 2
True or False: The distance from a point to a plane can be negative.
- True
- False
💡 Hint: Reflect on the meaning of distance in geometry.
Solve 3 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A point (5, 5, 5) lies in space. Calculate the distance to the plane defined as x + y + z - 15 = 0.
💡 Hint: Substitute point values and simplify step-by-step.
Question 2
Determine the distance from (-2, -2, -2) to the plane represented by 2x + 2y + 2z = 4.
💡 Hint: Remember to organize your work and calculate square roots after evaluating the numerator.
Challenge and get performance evaluation