### All Calculus 3 Resources

## Example Questions

### Example Question #71 : Vector Addition

Solve:

**Possible Answers:**

**Correct answer:**

The sum of two vectors found by adding the corresponding components (for example, )

Our final answer is

(Note that the sum of two vectors produces another vector.)

### Example Question #72 : Vector Addition

Solve:

**Possible Answers:**

**Correct answer:**

To add vectors, we add their corresponding components together (for example, )

Our final answer is

after using a Pythagorean identity to simplify.

### Example Question #73 : Vector Addition

Find the sum of the vectors and

**Possible Answers:**

**Correct answer:**

To find the sum of two vectors and , you use the following formula:

Using the vectors from the problem statement, we get

### Example Question #281 : Vectors And Vector Operations

Find the sum of the vectors and

**Possible Answers:**

**Correct answer:**

To find the sum of two vectors and , you use the following formula:

Using the vectors from the problem statement, we get

### Example Question #282 : Vectors And Vector Operations

Solve:

**Possible Answers:**

**Correct answer:**

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

Our final answer is

### Example Question #283 : Vectors And Vector Operations

Find the sum of the vectors and

**Possible Answers:**

**Correct answer:**

To find the sum of two vectors and , we use the formula

Using the vectors from the problem statement, we get

### Example Question #284 : Vectors And Vector Operations

Find the vector sum , where and .

**Possible Answers:**

**Correct answer:**

If and , then the vector , called the "sum" of two vectors, is defined by the sum of its respective components; that is,

.

We have and . By the definition of the "sum" of two vectors, the vector can be calculated as follows:

.

Hence, .

### Example Question #285 : Vectors And Vector Operations

Find the sum of the vectors and

**Possible Answers:**

**Correct answer:**

To find the sum of two vectors and , we use the formula

Using the vectors from the problem statement, we get

### Example Question #286 : Vectors And Vector Operations

Find the sum of the vectors and

**Possible Answers:**

**Correct answer:**

To find the sum of two vectors and , you use the formula

Using the vectors from the problem statement, we get

### Example Question #287 : Vectors And Vector Operations

Find the sum of the vectors and

**Possible Answers:**

**Correct answer:**

To find the sum of two vectors and , we use the following formula:

Using the vectors from the problem statement, we get

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