Practice Distance From A Point To A Plane (8) - 3D Geometry - IB 10 Mathematics

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11 questions

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

Question 1.
Find the distance from point A(0, 0, 0) to plane 2x + 2y + 2z + 6 = 0.
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Use the distance formula with A(0,0,0) coordinates.
Question 2.
Calculate the distance from point B(1, 1, 1) to the plane given by x - y + z = 5.
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Insert B's coordinates into the formula.
3Question 3.
What is the formula for the distance from a point to a plane?
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Think about how the plane's equation relates to the distance calculation.
4Question 4.
True or False: The distance from a point to a plane can be negative.
- True
- False
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Reflect on the meaning of distance in geometry.
Question 5.
A point (5, 5, 5) lies in space. Calculate the distance to the plane defined as x + y + z - 15 = 0.
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Substitute point values and simplify step-by-step.
Question 6.
Determine the distance from (-2, -2, -2) to the plane represented by 2x + 2y + 2z = 4.
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Remember to organize your work and calculate square roots after evaluating the numerator.

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