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How to find magnitude of a vector

User Snrlx
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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.

User Mulan
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