### All Calculus 3 Resources

## Example Questions

### Example Question #1 : Vector Addition

Let , , and ,

find

**Possible Answers:**

**Correct answer:**

In order to find , we need to add like components.

### Example Question #2 : Vector Addition

Given the vectors

and , compute .

**Possible Answers:**

**Correct answer:**

To add two vectors , we simply add their components:

### Example Question #3 : Vector Addition

Given the vectors

and , compute .

**Possible Answers:**

**Correct answer:**

To add two vectors , we simply add their components:

### Example Question #4 : Vector Addition

Find the sum of the vectors given below

**Possible Answers:**

**Correct answer:**

When adding vectors, it is important to note that the summation only occurs between terms that have the same coordinate direction . Therefore, we find

### Example Question #5 : Vector Addition

Find the sum of the two vectors.

**Possible Answers:**

**Correct answer:**

The sum of two vectors and is defined as

For the vectors

### Example Question #6 : Vector Addition

Given vectors

find .

**Possible Answers:**

**Correct answer:**

To find the sum , we add their components:

### Example Question #7 : Vector Addition

Given the vectors

find the sum .

**Possible Answers:**

**Correct answer:**

To find the sum of the vectors

we add their components:

### Example Question #8 : Vector Addition

Add the following vectors:

Where

,

**Possible Answers:**

**Correct answer:**

Vector addition is done as follows:

For this problem:

### Example Question #9 : Vector Addition

Add the vectors given: and

**Possible Answers:**

**Correct answer:**

Multiply the vectors with the constants first.

Evaluate .

Evaluate .

Add the vectors .

The answer is:

### Example Question #10 : Vector Addition

Given the vectors

find the sum .

**Possible Answers:**

**Correct answer:**

Given the vectors

we can find the sum by adding component by component:

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