### All Calculus 3 Resources

## Example Questions

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

Given the vectors

find the sum .

**Possible Answers:**

**Correct answer:**

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

**Possible Answers:**

**Correct answer:**

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.

**Possible Answers:**

**Correct answer:**

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:

**Possible Answers:**

**Correct answer:**

To add vectors, we simply add their components. For example, .

Our answer is

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

Compute the sum of the vectors and .

**Possible Answers:**

**Correct answer:**

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:

**Possible Answers:**

**Correct answer:**

To add vectors, we simply add the components. For example:

Our final answer is

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

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

Solve:

**Possible Answers:**

**Correct answer:**

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

Our answer is therefore

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

Find the sum of the two vectors.

**Possible Answers:**

**Correct answer:**

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, .

**Possible Answers:**

**Correct answer:**

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 .

**Possible Answers:**

**Correct answer:**

The formula for the difference of vectors is

Using the vectors given, we get

.

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