Answer:
To find the magnitude of a vector, you can use the Pythagorean theorem. The magnitude of a vector represents its length or size.
Here are the steps to find the magnitude of a vector:
1. Identify the components of the vector. A vector in two-dimensional space will have two components, while a vector in three-dimensional space will have three components.
2. Square each component and sum up the squares.
3. Take the square root of the sum obtained in step 2 to find the magnitude.
Let's say we have a vector with components (3, 4) in two-dimensional space. Here's how we can find its magnitude:
1. Identify the components:
- The x-component is 3.
- The y-component is 4.
2. Square each component and sum up the squares:
- 3^2 = 9
- 4^2 = 16
- Sum = 9 + 16 = 25
3. Take the square root of the sum:
- √25 = 5
Therefore, the magnitude of the vector (3, 4) is 5.
Remember, the magnitude of a vector is always positive and represents the distance from the origin to the vector's endpoint. It does not have any direction associated with it.