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The vertices of a parallelogram in consecutive order are A(2, −1, 4), B(1, 0, −1), C(1, 2, 3), and D. What is the perpendicular distance of the point P(8, 2, −12) from the plane containing this parallelogram?
- 4√6/9
- 32√6/9
- 16√6/9
- None of these
Correct answer: 32√6/9
Solution
The correct option is right because the distance from a point to a plane can be calculated using the formula involving the normal vector of the plane and the coordinates of the point. In this case, the calculations yield the distance as 32√6/9, confirming that this option accurately represents the perpendicular distance from point P to the plane of the parallelogram.
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- Consider the following two statements:
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