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The Question & Answer (Q&A) Knowledge Managenet

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Table of Contents

- What is a grammar point?
- What are the examples of grammar?
- What is a sentence for point?
- Where do we use point?
- Are points defined?
- What is the least number of points needed to form a line?
- Why are points and lines hard to define?
- How many points does it take to determine a line?
- Do lines have points?
- Why do you need two points to determine a line?
- What do you call points on the same line?
- Can a line have 3 points?
- What is the formula of collinear points?
- What are three non-collinear points?
- What are 3 collinear points?
- Which figure is formed by 3 collinear points?
- What are two non-collinear points?
- What are non-collinear points?
- What is mean by non-collinear points?
- How do you write non collinear points?
- What is the difference between collinear and noncollinear points?
- How do you know if a point is coplanar?
- How many lines can 3 draw?
- How many lines are determined by 10 points no 3 of which are collinear?
- How many lines can pass through 4 non collinear points?
- How many lines can you draw through two points?

“grammar point” is not a grammatical term. It merely means “grammar issue”. –

The definition of grammar is the study of the way words are used to make sentences. An example of grammar is how commas and semicolons are supposed to be used.

Examples of point in a Sentence I see your point, but I don’t think everyone will agree. There’s no use in arguing the point. He made a very good point about the need for change.

Used with verbs: “I see your point.” “He missed the point.” “You have a great point.” “She made a good point.”

In Geometry, we define a point as a location and no size. A line is defined as something that extends infinitely in either direction but has no width and is one dimensional while a plane extends infinitely in two dimensions. A point has no size; it only has a location.

two points

Why are points and lines hard to define? A point you can’t move at all, a line you can only move back and forth in the same direction. When you are on a point you can’t travel at all in any direction while staying on that point. That means you have zero options to travel in.

A line is defined as a line of points that extends infinitely in two directions. It has one dimension, length. Points that are on the same line are called collinear points. A line is defined by two points and is written as shown below with an arrowhead.

A line is understood to extend indefinitely to both sides. It does not have a beginning or end. A line consists of infinitely many points. The four points A, B, C, D are all on the same line.

Two distinct points determine exactly one line. That line is the shortest path between the two points. Bricklayers use these properties when they stretch a string from corner to corner to guide them in laying bricks.

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.

These three points all lie on the same line. This line could be called ‘Line AB’, ‘Line BA’, ‘Line AC’, ‘Line CA’, ‘Line BC’, or ‘LineCB’ .

If the A, B and C are three collinear points then AB + BC = AC or AB = AC – BC or BC = AC – AB. If the area of triangle is zero then the points are called collinear points. If three points (x1, y1), (x2, y2) and (x3, y3) are collinear then [x1(y2 – y3) + x2( y3 – y1)+ x3(y1 – y2)] = 0.

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.

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.

triangle

Non-collinear points: These points, like points X, Y, and Z in the above figure, don’t all lie on the same line. Coplanar points: A group of points that lie in the same plane are coplanar. Any two or three points are always coplanar. Four or more points might or might not be coplanar.

Collinear Meaning Non-Collinear Points: The points which do not lie on the same line are called non-collinear points.

: not collinear: a : not lying or acting in the same straight line noncollinear forces. b : not having a straight line in common noncollinear planes.

Points must lie on the same line to have collinearity. If picture a right triangle with two points label on two different sides points L and R. If point L on the hypotenuse and point R on the base, then point L and point R are non-collinear.

Collinear points are points all in one line and non collinear points are points that are not on one line. Below points A, F and B are collinear and points G and H are non collinear.

Points that are located on a plane are coplanar 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.

To draw any line we need only two points. So total numbers of possible lines are 3. Hence from three noncollinear points we can draw three lines.

45

Answer: Six is the correct ans.

one line