JEE > Mathematics (Maths) Class 12 > Examples: Vectors joining 2 Points
Examples: Vectors joining 2 Points Video Lecture - Mathematics (Maths) Class 12 - JEE
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FAQs on Examples: Vectors joining 2 Points Video Lecture - Mathematics (Maths) Class 12 - JEE
| 1. What are vectors and how are they used in joining two points? |  |
Ans. Vectors are mathematical quantities that have both magnitude and direction. They are used to represent the displacement between two points in space. By subtracting the coordinates of the starting point from the coordinates of the ending point, we can obtain the components of the vector and use them to join the two points.
| 2. Can vectors be used to find the distance between two points? | |
Ans. No, vectors alone cannot be used to find the distance between two points. Vectors represent the displacement between two points, which is different from the distance. To find the distance between two points, we need to calculate the magnitude of the vector using the Pythagorean theorem.
| 3. How can we calculate the magnitude of a vector joining two points? | |
Ans. To calculate the magnitude of a vector joining two points, we can use the distance formula. The distance formula states that the magnitude of a vector (d) is equal to the square root of the sum of the squares of its components. In the case of a vector joining two points, the components are the differences in the coordinates of the two points.
| 4. Are vectors only used in two-dimensional space? | |
Ans. No, vectors can be used in both two-dimensional and three-dimensional space. In two-dimensional space, vectors have two components (x and y), while in three-dimensional space, vectors have three components (x, y, and z). The principles and calculations involving vectors remain the same, regardless of the dimension of the space.
| 5. Can vectors be added or subtracted? | |
Ans. Yes, vectors can be added or subtracted. When adding or subtracting vectors, we combine their corresponding components. For example, to add two vectors, we add their x-components and y-components separately. The resulting vector will have the sum of the x-components as its new x-component and the sum of the y-components as its new y-component.
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