# Calculus 3 : Vector Addition

## Example Questions

### Example Question #238 : Vectors And Vector Operations

Find the sum of the vectors  and .

Explanation:

The formula for adding vectors is

.

Plugging in the values we were given, we get

### Example Question #239 : Vectors And Vector Operations

What is the sum of the vectors  and .

Explanation:

The formula for adding vectors is

.

Plugging in the values we were given, we get

and . Find

Explanation:

### Example Question #31 : Vector Addition

Find the sum,

Explanation:

The sum of two vectors

is defined as

For the vectors in this problem

### Example Question #32 : Vector Addition

Perform the matrix operation

Explanation:

To find the sum . Using the matrices in the problem statement, we get  =

### Example Question #33 : Vector Addition

Solve:

Explanation:

When adding vectors, we simply add the corresponding components together:

Note that our final answer is a vector.

### Example Question #34 : Vector Addition

Solve:

Explanation:

The sum of two vectors is the vector given by the sums of the respective components (for example, ).

Our final answer is

### Example Question #35 : Vector Addition

Perform the following vector operation:

Explanation:

The formula for adding two vectors  and  is . Using the vectors from the problem statement, this becomes

### Example Question #36 : Vector Addition

Solve:

Explanation:

To add two vectors, we simply add the corresponding components (for example, )

Our final answer is

### Example Question #37 : Vector Addition

Find the sum of the vectors  and