Let a (2,3,1), B (4,1,2), C (6,3,7), D (- 5, - 4,8), then the distance from D to plane ABC is?
The normal vector and Ad vector of plane are obtained by the formula from point to plane
D = | Ad vector * n vector | / | n vector | |; is the absolute value and N is the normal vector
RELATED INFORMATIONS
- 1. Given a (2,3,1) B (4,1,2) C (6,3,7) d (- 5, - 4,8), find the distance from D to plane ABC
- 2. Let a (2,3,1) B (4,1,2) C (6,3,7) d (- 5, - 4,8) find the distance from D to plane ABC, Let a (2,3,1) B (4,1,2) C (6,3,7) d (- 5, - 4,8) find the distance from D to plane ABC?
- 3. Let p be a point outside the plane where △ ABC lies, the distance between P and a, B, C is equal, and ∠ BAC is a right angle
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- 6. ABC is an equilateral triangle with side length 4. If the distance between a, B, C and plane a is the root sign 3, how many are there?
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- 9. It is known that the distance between the cross sections of three points a, B, C and the center O of the sphere is equal to half of the radius of the sphere, and ab = BC = CA = 3
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- 11. In space, it is shared with the plane whose distance from the three vertices of △ ABC is 1cm______ .
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- 14. It is known that △ ABC is not in plane α. If the distances from a, B and C to plane α are equal, then the positional relationship between plane ABC and plane α is______ .
- 15. The distance from three points ABC not on the same straight line to plane a is equal, and a does not belong to a 1. At least one edge of triangle ABC is parallel to a 2. At most two sides of triangle ABC are parallel to a 3. Only one edge of triangle ABC intersects with a What are the correct ones?
- 16. ABC three points are in the same plane but not on the same straight line. You can draw three straight lines through these three points, right?
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