# Calculus 3 : Dot Product

## Example Questions

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### Example Question #171 : Dot Product

Find the dot product of the vectors  and

Explanation:

To find the dot product of two vectors  and , we apply the formula

Using the vectors from the problem statement, we get

### Example Question #172 : Dot Product

Find the dot product of the vectors  and

Explanation:

To find the dot product of two vectors  and , we apply the formula

Using the vectors from the problem statement, we get

### Example Question #173 : Dot Product

Find the dot product of the vectors  and

Explanation:

To find the dot product of two vectors  and , we use the formula

Using the vectors from the problem statement, we get

### Example Question #174 : Dot Product

Find the dot product of the vectors  and

Explanation:

To find the dot product of two vectors  and , we use the formula

Using the vectors from the problem statement, we get

### Example Question #175 : Dot Product

Solve:

Explanation:

The dot product of two vectors is equal to the sum of the product of the corresponding components (for example, )

### Example Question #176 : Dot Product

Find the dot product of the vectors  and

Explanation:

To find the dot product of two vectors  and , you use the following formula

Using the vectors from the problem statement, we get

### Example Question #177 : Dot Product

Find the dot product of the vectors  and

Explanation:

To find the dot product of two vectors  and , you use the following formula

Using the vectors from the problem statement, we get

### Example Question #178 : Dot Product

Find the dot product of the vectors  and

Explanation:

To find the dot product between two vectors  and , you use the formula:

Using the vectors from the problem statement, we get

### Example Question #179 : Dot Product

Find the dot product of the vectors  and