Distance. Now get back to apex...
Let the two points be (a,b) and (c,d). Then the distance between D= sqrt [ (a-c)^2 + (b-d)^2] where ^2 means squared.
The Law of Cosines: c^2=a^2 + b^2 -2abcos(ab) , c is the distance between the two points a and b and (ab) is the angle between a and b from the origin. If one point is taken as the origin, and a and b a re taken at right angles to each other, then cos(ab) is zero and you have Pythagora' Theorem..
There are numerous symbols. d(A,B), |AB|, AB are some symbols for the distance between points A and B. The Greek letter Delta can also be used in place of d in the first example.
It is |B - C|
distance
The shortest distance between two points is always a straight line.
If you have a finite set of points (call them A1, A2, A3...), then you have a finite set of distances to the points. So for any point B, simply pick a distance D that's smaller than the distance between B and A1, the distance between B and A2, and so on. (This is possible, since there a finite number of points.) ================================================ Since there are no points within distance D of B (because this is how you chose D), point B can not be an accumulation point (because an accumulation point must have points within any given distance of it)
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Distance. Now get back to apex...
Distance covered between two points in unit time. eg : distance between A and B /time taken =distance/time
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To get the distance between ANY two points on a number line: * Subtract one number from the other * Take the absolute value of the result In symbols: distance(a, b) = | a - b |
Let the two points be (a,b) and (c,d). Then the distance between D= sqrt [ (a-c)^2 + (b-d)^2] where ^2 means squared.
The Law of Cosines: c^2=a^2 + b^2 -2abcos(ab) , c is the distance between the two points a and b and (ab) is the angle between a and b from the origin. If one point is taken as the origin, and a and b a re taken at right angles to each other, then cos(ab) is zero and you have Pythagora' Theorem..
A distance is the length of the straight line path between 2 points. This is also known as a scalar value as it has a magnitude but no direction. A displacement is the distance and the direction between one point and another. This is also known as a vector as it has magnitude and direction as well. Note that the distance between two points, say, point A and point B is the same as the distance from point B to point A. It remains the same value regardless of the direction of travel. On the other hand, if a displacement between point A and point B was 1 mile North, it cannot be reversed. The displacement between point B and point A is 1 mile South - the same distance but an opposite direction.
There are numerous symbols. d(A,B), |AB|, AB are some symbols for the distance between points A and B. The Greek letter Delta can also be used in place of d in the first example.