Question:
A point on the plane passing through the points \((\sqrt{2},1,4), (0,-1,0)\) and \((0,0,1)\) is:
A point on the plane passing through the points \((\sqrt{2},1,4), (0,-1,0)\) and \((0,0,1)\) is:
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Any point explicitly listed in the set used to define a plane lies on that plane by default.
Updated On: May 15, 2025
- \((-\sqrt{2},1,-4)\)
- \((\sqrt{2},1,4)\)
- \((\sqrt{2},-1,4)\)
- \((-\sqrt{2},-1,-4)\)
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The Correct Option is B
Solution and Explanation
We are given three points. The plane containing these points can be found using the determinant form of the equation of a plane.
Let’s check if the point \((\sqrt{2},1,4)\) lies on the plane.
Since \((\sqrt{2},1,4)\) is **already one of the three given points**, it must lie on the plane.
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