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# Vector Subtraction Calculator

Vector subtraction is the operation of subtracting two or more vectors together into a vector difference. We can do vector subtraction just like how we do the subtraction of scalars. We subtract the corresponding components of vectors while subtracting vectors.

## What is Vector Subtraction Calculator?

'Vector Subtraction Calculator' is an online tool that helps to calculate the difference between the two given vectors in a few seconds. The length of the line between the two points A and B is called the magnitude of the vector and the direction of the displacement of point A to point B is called the direction of the vector AB.

### Vector Subtraction Calculator

## How to Use Vector Subtraction Calculator?

Please follow the steps below on how to use the calculator:

**Step 1:**Enter the coefficients of two vectors in the given input boxes.**Step 2:**Click on the**"Subtract"**button to calculate the difference between the two given vectors**Step 3:**Click on the**"Reset"**button to clear the fields and enter the new values.

## How to Find Vector Subtraction Calculator?

Vectors are quantities with both magnitude and direction. Vectors help to simultaneously represent different quantities in the same expression.

The standard form of representation of a vector is:

A_{1} = a_{1}i^ + b_{1}j^ + c_{1}k^

A_{2} = a_{2}i^ + b_{2}j^ + c_{2}k^

**A _{1} - A_{2} = (a_{1} - a_{2})i^ + (b_{1} - b_{2})j^ + (c_{1} - c_{2})k^**

Where a_{1}, b_{1}, c_{1,} and a_{2}, b_{2}, c_{2 }are numeric values, and i^, j^, k^ are the unit vectors along the x-axis, y-axis, and z-axis respectively.

## Solved Examples on Vector Subtraction Calculator

**Example 1:**

Find the subtraction of two vectors a = 4i + 2j - 5k and b = 3i - 2j + k ?

**Solution:**

Given a = 4i + 2j - 5k and b = 3i - 2j + k

a - b = (4i + 2j - 5k) - (3i - 2j + k)

= (4 - 3)i + (2 + 2)j + (-5 - 1)k

= i + 4j - 6k

**Example 2:**

Find the subtraction of two vectors a = 3i + 2j - 4k and b = 7i - 4j + k ?

**Solution:**

Given a = 3i + 2j - 4k and b = 7i - 4j + k

a - b = (3i + 2j - 4k) - (7i - 4j + k)

= (3 - 7)i + (2 + 4)j + (-4 - 1)k

= -4i + 6j - 5k

**Example 3:**

Find the subtraction of two vectors a = 2i - 2j + 5k and b = i + 4j - 2k ?

**Solution:**

Given a = 2i - 2j + 5k and b = i + 4j - 2k

a - b = (2i - 2j + 5k) - (i + 4j - 2k)

= (2 - 1)i + (-2 - 4)j + (5 + 2)k

= i - 6j + 7k

Similarly, you can use the calculator to find the difference between two vectors for the following:

- a = 4i + 2j - 5k and b = -1i + 4j - 3k
- a = -2i - 5k and b = -7i + j + k

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