### All Calculus 3 Resources

## Example Questions

### Example Question #31 : Vector Addition

Find the sum of the vectors and .

**Possible Answers:**

**Correct answer:**

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 .

**Possible Answers:**

**Correct answer:**

The formula for adding vectors is

.

Plugging in the values we were given, we get

### Example Question #33 : Vector Addition

and . Find

**Possible Answers:**

**Correct answer:**

### Example Question #34 : Vector Addition

Find the sum,

**Possible Answers:**

**Correct answer:**

The sum of two vectors

is defined as

For the vectors in this problem

### Example Question #35 : Vector Addition

Perform the matrix operation

**Possible Answers:**

**Correct answer:**

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

### Example Question #36 : Vector Addition

Solve:

**Possible Answers:**

**Correct answer:**

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

Our answer is

Note that our final answer is a vector.

### Example Question #37 : Vector Addition

Solve:

**Possible Answers:**

**Correct answer:**

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

Our final answer is

### Example Question #38 : Vector Addition

Perform the following vector operation:

**Possible Answers:**

**Correct answer:**

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

### Example Question #39 : Vector Addition

Solve:

**Possible Answers:**

**Correct answer:**

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

Our final answer is

### Example Question #40 : Vector Addition

Find the sum of the vectors and

**Possible Answers:**

**Correct answer:**

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