Vectors are those having both magnitude and direction. Vector subtraction is all about subtracting one vector from the another.

Consider two vectors $\vec{u}$ and $\vec{v}$ where $\vec{u}$ = a1 i + b1 j + c1 k  and  $\vec{v}$ = a2 i + b2 j + c2 k. The resultant vector z is given by

Vector Subtraction Calculator is an online tool for vector subtraction. It subtracts one vector from the another. Provided are the blocks where you are supposed to put components values of vector u and v. you get the your resultant vector instantly.

## Vector Subtraction Problems

Let us analyze the how to solve vector subtraction using steps:
Step 1 : Observe the given problem and note down the given two vectors

$\vec{u}$ = a1 i + b1 j + c1 k
$\vec{v}$ = a2 i + b2 j + c2 k

Step 2 : The vector subtraction is given by

$\vec{u}$ - $\vec{v}$ = (a1 - a2)i + (b1 - b2)j + (c1 - c2)k

Subtracting the magnitude of each components you get the resultant vector.

Below are given some solved problems on vector subtraction:

### Solved Examples

Question 1: Find the vector subtraction if $\vec{u}$ = 2i + 4j + 5k and $\vec{v}$ = i + j - k.
Solution:

Step 1: The given vectors are
$\vec{u}$ = 2i + 4j + 5k and $\vec{v}$ = i + j - k

Step 2: The vector subtraction is given by
$\vec{u}$ - $\vec{v}$ = (2 - 1)i + (4 - 1)j + (5 - (-1))k
= i + 3j + 6k.

Question 2: Subtract i + 4j + 5k from i + j - k.
Solution:

Step 1: The given vectors are
$\vec{u}$ = i + j - k and
$\vec{v}$ = i + 4j + 5k

Step 2: The vector subtraction is given by
$\vec{u}$ - $\vec{v}$ = (1 - 1)i + (1 - 4)j + (-1 + 5)k
= -3j + 4k.

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