# Calculus 3 : Vector Addition

## Example Questions

### Example Question #21 : Vector Addition

Given the vectors

find the sum .

Explanation:

Given the vectors

we can find the sum  by adding component by component:

### Example Question #22 : Vector Addition

Find the sum of the two vectors

Explanation:

The sum of two vectors

is defined as

For the vectors in this problem

### Example Question #23 : Vector Addition

Find the sum of the two vectors.

Explanation:

The sum of two vectors

is defined as

For the vectors in this problem

### Example Question #24 : Vector Addition

Find the sum of the vectors:

Explanation:

### Example Question #25 : Vector Addition

Compute the sum of the vectors  and .

Explanation:

The formula for the sum of two vectors a and b is . Using the numbers we have, we get the resultant as .

### Example Question #26 : Vector Addition

Solve:

Explanation:

Note that a Pythagorean identity was used when combining the "y" terms.

### Example Question #27 : Vector Addition

Solve:

Explanation:

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

### Example Question #28 : Vector Addition

Find the sum of the two vectors.

Explanation:

The sum of two vectors

is defined as

For the vectors in this problem

### Example Question #29 : Vector Addition

Find the sum of the two vectors, .

Explanation:

The sum of two vectors

is defined as

For the vectors in this problem

### Example Question #30 : Vector Addition

Find the difference between  and .