# Calculus 3 : Vectors and Vector Operations

## Example Questions

### Example Question #16 : Distance Between Vectors

Find the distance between the vectors  and

Explanation:

To find the distance between two vectors  and , we use the formula

Using the vectors from the problem statement, we get

### Example Question #17 : Distance Between Vectors

Find the distance between the vectors  and

Explanation:

To find the distance between two vectors  and , we use the formula

Using the vectors from the problem statement, we get

### Example Question #18 : Distance Between Vectors

Find the distance between the vectors  and

Explanation:

To find the distance between two vectors  and , we use the formula

Using the vectors from the problem statement, we get

### Example Question #19 : Distance Between Vectors

Find the distance between the vectors  and

Explanation:

To find the distance between two vectors  and , we use the formula

Using the vectors from the problem statement, we get

### Example Question #20 : Distance Between Vectors

Find the distance between the two vectors u and v:

Explanation:

The Euclidean distance between two vectors:

and

is given by:

For the given vectors, this results in the distance:

### Example Question #21 : Distance Between Vectors

Find the distance between the vectors  and

Explanation:

To find the distance between two vectors  and , we use the following formula:

Therefore, we get

### Example Question #22 : Distance Between Vectors

Find the distance between the vectors  and

Explanation:

To find the distance between two vectors  and , we use the following formula:

Therefore, we get

### Example Question #23 : Distance Between Vectors

Find the distance between the vectors  and

Explanation:

To find the distance between two vectors  and , we apply the following formula:

Using the vectors form the problem statement and applying, we get

### Example Question #24 : Distance Between Vectors

Find the distance between the vectors  and

Explanation:

To find the distance between two vectors  and , we apply the following formula:

Using the vectors form the problem statement and applying, we get

### Example Question #25 : Distance Between Vectors

Find the distance between the vectors  and