# Calculus 3 : Vector Addition

## Example Questions

### Example Question #221 : Vectors And Vector Operations

Given the vectors

find the sum .

Explanation:

Given the vectors

we can find the sum  by adding component by component:

### Example Question #222 : Vectors And Vector Operations

Find the sum of the two vectors

Explanation:

The sum of two vectors

is defined as

For the vectors in this problem

### Example Question #223 : Vectors And Vector Operations

Find the sum of the two vectors.

Explanation:

The sum of two vectors

is defined as

For the vectors in this problem

### Example Question #231 : Vectors And Vector Operations

Find the sum of the vectors:

Explanation:

### Example Question #232 : Vectors And Vector Operations

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 #233 : Vectors And Vector Operations

Solve:

Explanation:

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

### Example Question #234 : Vectors And Vector Operations

Solve:

Explanation:

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

### Example Question #235 : Vectors And Vector Operations

Find the sum of the two vectors.

Explanation:

The sum of two vectors

is defined as

For the vectors in this problem

### Example Question #236 : Vectors And Vector Operations

Find the sum of the two vectors, .

Explanation:

The sum of two vectors

is defined as

For the vectors in this problem

### Example Question #237 : Vectors And Vector Operations

Find the difference between  and .