Points in space
There are n points, of which no three lie on one line and no four lies on one plane. How many planes can be guided by these points? How many planes are there if there are five times more than the given points?
Correct answer:
Tips for related online calculators
The line slope calculator is helpful for basic calculations in analytic geometry. The coordinates of two points in the plane calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of the segment, intersections of the coordinate axes, etc.
Are you looking for help with calculating roots of a quadratic equation?
See also our combinations with repetition calculator.
Would you like to compute the count of combinations?
Are you looking for help with calculating roots of a quadratic equation?
See also our combinations with repetition calculator.
Would you like to compute the count of combinations?
You need to know the following knowledge to solve this word math problem:
geometrycombinatoricsalgebrabasic operations and conceptsGrade of the word problem
Related math problems and questions:
- Determined 3570
There are 12 points in space, with no three lying on a straight line. How many different planes are determined by these points? - Points in plane
The plane is given 12 points, 5 of which are located on a straight line. How many different lines could be drawn from these points? - Circles
How many different circles are determined by 11 points at the plane if 7 of them lie in a straight line? - Intersection of the lines
How many points do nine lines intersect in a plane, of which four are parallel, and of the other five, no two are parallel (and if we assume that only two lines pass through each intersection)?
- Distance 15203
In the plane, the points A, B, and C are given 3 cm apart, and they do not lie in the same straight line. Mark the set of all points whose distance from all three points is less than or equal to 2.5 cm. - Intersection 81017
There are also two equilateral triangles ABC, and BDE, such that the size of the angle ABD is greater than 120° and less than 180° points C and E lie in the same half-plane defined by the line AD. The intersection of CD and AE is marked F. Determine the s - Lines
How many lines can be drawn with 8 points if three points lie on one line and the other any three points do not lie on the same line?
