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Collinearity of 3 points Video Lecture | Mathematics (Maths) Class 11 - Commerce

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FAQs on Collinearity of 3 points Video Lecture - Mathematics (Maths) Class 11 - Commerce

1. What is collinearity of 3 points?
Collinearity of 3 points refers to the condition when three points lie on the same straight line. In other words, these points are considered to be collinear if they can be connected by a single line.
2. How can I determine if three points are collinear?
To determine if three points are collinear, you can use the slope formula. Calculate the slope between the first two points and then the slope between the second and third points. If the slopes are equal, then the three points are collinear.
3. Can three points be collinear in three-dimensional space?
No, three points cannot be collinear in three-dimensional space. Collinearity only applies to points in a two-dimensional plane. In three-dimensional space, three non-collinear points will always define a unique plane.
4. What is the significance of collinearity in mathematics and geometry?
Collinearity is significant in mathematics and geometry as it helps determine the nature of geometric figures. For example, if three points are collinear, it implies that they lie on the same line. This property is fundamental in various geometric proofs and calculations.
5. Are there any real-life applications of collinearity?
Yes, collinearity has numerous real-life applications. In computer graphics, collinearity is used to determine the visibility of objects and to create realistic 3D scenes. It is also employed in navigation systems to calculate the position of objects based on their relative distances. Additionally, collinearity is utilized in architectural design and surveying to ensure accurate alignment and measurements.
75 videos|238 docs|91 tests

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