# Calculus 3 : Vector Addition

## Example Questions

### Example Question #31 : Vector Addition

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 #32 : Vector Addition

What is the sum of the vectors and .     Explanation:

The formula for adding vectors is .

Plugging in the values we were given, we get ### Example Question #33 : Vector Addition and . Find       Explanation: ### Example Question #34 : Vector Addition

Find the sum,       Explanation:

The sum of two vectors  is defined as For the vectors in this problem  ### Example Question #35 : Vector Addition

Perform the matrix operation      Explanation:

To find the sum . Using the matrices in the problem statement, we get = ### Example Question #36 : Vector Addition

Solve:      Explanation:  Note that our final answer is a vector.

### Example Question #37 : Vector Addition

Solve:      Explanation:

The sum of two vectors is the vector given by the sums of the respective components (for example, ). ### Example Question #38 : 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 #39 : Vector Addition

Solve:      Explanation:

To add two vectors, we simply add the corresponding components (for example, ) ### Example Question #40 : Vector Addition

Find the sum of the vectors and      To find the sum of two vectors and is . Using the vectors we were given, we get  