Grade 11 Exam > Grade 11 Videos > Mathematics for Grade 11 > Finding Distance between 2 Points
Finding Distance between 2 Points Video Lecture | Mathematics for Grade 11
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FAQs on Finding Distance between 2 Points Video Lecture - Mathematics for Grade 11
| 1. How do I find the distance between two points on a coordinate plane? |  |
Ans. To find the distance between two points (x1, y1) and (x2, y2) on a coordinate plane, you can use the distance formula. The formula is:
Distance = √((x2 - x1)^2 + (y2 - y1)^2). Simply substitute the coordinates of the two points into the formula and calculate the square root of the sum of the squared differences.
| 2. Can the distance between two points be negative? | |
Ans. No, the distance between two points on a coordinate plane cannot be negative. Distance is a scalar quantity, which means it only represents the magnitude or size of a quantity. Therefore, distance is always positive or zero. The negative sign may appear in the distance formula when calculating the difference between coordinates, but it is squared and then taken the square root, resulting in a positive value.
| 3. Is it possible to find the distance between two points in three-dimensional space? | |
Ans. Yes, it is possible to find the distance between two points in three-dimensional space. The concept is similar to finding the distance on a two-dimensional coordinate plane. The formula for calculating the distance between two points (x1, y1, z1) and (x2, y2, z2) in three-dimensional space is:
Distance = √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2). By substituting the coordinates into this formula and performing the necessary calculations, you can determine the distance between the two points.
| 4. Are there any alternative methods to calculate the distance between two points? | |
Ans. Yes, besides using the distance formula, there are alternative methods to calculate the distance between two points. One such method is using the Pythagorean theorem for finding the distance in a two-dimensional plane. If the two points lie on the same horizontal line or vertical line, you can simply subtract the corresponding coordinates to find the distance. Additionally, if you have access to a map or an online mapping service, you can measure the distance between two points by using the provided scale or distance measurement tool.
| 5. Can the distance between two points ever be equal to zero? | |
Ans. Yes, the distance between two points can be equal to zero. This occurs when the two points coincide or overlap with each other. In other words, if the coordinates of two points are exactly the same, the distance between them will be zero. However, it is important to note that this is a special case and not the typical scenario when finding the distance between two distinct points.
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Nov 22, 2024 Last updated |
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