Calculus 3 : Dot Product

Example Questions

Example Question #141 : Dot Product

Find the dot product between the vectors and      Explanation:

To find the dot product between vectors and , you apply the following formula: . Applying to the vectors from the problem statement, we get: Example Question #142 : Dot Product

Find the dot product between the vectors and      Explanation:

To find the dot product between vectors and , you apply the following formula: . Applying to the vectors from the problem statement, we get: Example Question #143 : Dot Product

Find the dot product of the two vectors:      Explanation:

The dot product of two vectors is given by the sum of the products of the corresponding components (for example, ) Example Question #144 : Dot Product

What is the product of and       Explanation: Example Question #145 : Dot Product

Evaluate the dot product of the vectors .     Explanation:

To evaluate the dot product of any two vectors, we multiply them component-wise. .

Example Question #146 : Dot Product

Solve:      Explanation:

The dot product of two vectors is given by the sum of the products of their respective components (for example, ) Example Question #147 : Dot Product

Evaluate the dot product of the two vectors.       Explanation:

The dot product for the vectors  is defined as For the vectors in this problem we find that Example Question #148 : Dot Product

Evaluate the dot product of the two vectors       Explanation:

The dot product for the vectors  is defined as For the vectors in this problem we find that Example Question #149 : Dot Product

Find the dot product between the vectors and      Explanation:

To find the dot product between two vectors and , we use the formula Using the vectors from the problem statement, we get Example Question #150 : Dot Product

Find the dot product between the vectors and      Explanation:

To find the dot product between two vectors and , we use the formula Using the vectors from the problem statement, we get  