For each line making up the rectangle, do the “two points on the same side of a line” test using the average point and your test point. If the average point and your test are on the same side for each line (though they may be on different sides for different lines), the point is inside the rectangle.

If the distance is greater than the radius, the point lies outside. If it’s equal to the radius, the point lies on the circle. And if it’s less than the radius, you guessed it right, the point will lie inside the circle. As simple as that!

The Circle is simple: Imagine a world where Twitter was only you and seven other people. You can never see the others in real life. The goal: create a profile, win daily challenges, and enchant (often, manipulate) others for the right to be named the most popular of the group.

If the line equation is y=ax+b and the coordinates of a point is (x0,y0) then compare y0 and ax0+b, for example if y0>ax0+b then the point is above the line, etc.

Collinear points are points that lie on the same line. Noncollinear points are points that do not lie on the same line. In this “Collinear Points” graph, we say point B is between point A and point C. If the three points are not collinear, we cannot say a point is between two other points.

Points that lie on the same line are called collinear points. If there is no line on which all of the points lie, then they are noncollinear points. In Figure 3 , points M, A, and N are collinear, and points T, I, and C are noncollinear. Figure 3 Three collinear points and three noncollinear points.

Three or more points that lie on the same line are collinear points . Example : The points A , B and C lie on the line m . They are collinear.

Show that the points A(3;9),B(−2;−16) and C(0.2;−5) lie on the same line. We can say that three points lie on the same line if the largest segment bounded by two of these points is equal to the sum of the smaller ones.

4 points are coplanar if the volume created by the points is 0. If any three points determine a plane then additional points can be checked for coplanarity by measuring the distance of the points from the plane, if the distance is 0 then the point is coplanar.

If vectors are multiples of each other, they’re parallel; If two parallel vectors start at the same point, that point and the two end points are in a straight line.

Vectors in the plane or in space are not lines; they are straight-line motions. You can add two motions to get a third, or scale a motion to get a larger or smaller motion in the same direction. But they do not have a start or an end point the way a line segment does.

Condition of vectors coplanarity

1. For 3-vectors. The three vectors are coplanar if their scalar triple product is zero.
2. For 3-vectors. The three vectors are coplanar if they are linearly dependent.
3. For n-vectors. Vectors are coplanar if among them no more than two linearly independent vectors.

Three or more points , , ., are said to be collinear if they lie on a single straight line. . A line on which points lie, especially if it is related to a geometric figure such as a triangle, is sometimes called an axis. Two points are trivially collinear since two points determine a line.

In Euclidean geometry, if two or more than two points lie on a line close to or far from each other, then they are said to be collinear. Collinear points are points that lie on the straight line.

Three or more points are said to be collinear if they all lie on the same straight line. If A, B and C are collinear then. If you want to show that three points are collinear, choose two line segments, for example.

Collinear Meaning In more astonishing observation, the term collinear has been used for straightened things, that means, something being “in a row” or “in a line”. Non-Collinear Points: The points which do not lie on the same line are called non-collinear points.

triangle

Points B, E, C and F do not lie on that line. Hence, these points A, B, C, D, E, F are called non – collinear points. If we join three non – collinear points L, M and N lie on the plane of paper, then we will get a closed figure bounded by three line segments LM, MN and NL. This closed figure is called a Triangle.

three lines

Four lines