# Calculus 3 : Vector Addition

## Example Questions

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### Example Question #1 : Vector Addition

Let , and ,

find

Explanation:

In order to find , we need to add like components.

### Example Question #1 : Vector Addition

Given the vectors

and , compute .

Explanation:

### Example Question #3 : Vector Addition

Given the vectors

and , compute .

Explanation:

### Example Question #4 : Vector Addition

Find the sum of the vectors given below

Explanation:

When adding vectors, it is important to note that the summation only occurs between terms that have the same coordinate direction .  Therefore, we find

### Example Question #5 : Vector Addition

Find the sum of the two vectors.

Explanation:

The sum of two vectors  and  is defined as

For the vectors

### Example Question #211 : Vectors And Vector Operations

Given vectors

find .

Explanation:

To find the sum , we add their components:

### Example Question #7 : Vector Addition

Given the vectors

find the sum .

Explanation:

To find the sum of the vectors

### Example Question #8 : Vector Addition

Where

,

Explanation:

Vector addition is done as follows:

For this problem:

### Example Question #9 : Vector Addition

Explanation:

Multiply the vectors with the constants first.

Evaluate .

Evaluate .

### Example Question #10 : Vector Addition

Given the vectors

find the sum .