Calculus 3 : Dot Product
Study concepts, example questions & explanations for Calculus 3
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Example Questions
Example Question #71 : Dot Product
Given the following two vectors, 
The dot product of a paired set of vectors can be found by summing up the individual products of the multiplications between matched directional vectors.
Note that the dot product is a scalar value rather than a vector; there's no directional term.
Now considering our problem, we're given the vectors
The dot product can be found following the example above:
Example Question #387 : Vectors And Vector Operations
Given the following two vectors, 
The dot product of a paired set of vectors can be found by summing up the individual products of the multiplications between matched directional vectors.
Note that the dot product is a scalar value rather than a vector; there's no directional term.
Now considering our problem, we're given the vectors
The dot product can be found following the example above:
Example Question #388 : Vectors And Vector Operations
Given the following two vectors, 
The dot product of a paired set of vectors can be found by summing up the individual products of the multiplications between matched directional vectors.
Note that the dot product is a scalar value rather than a vector; there's no directional term.
Now considering our problem, we're given the vectors
The dot product can be found following the example above:
Example Question #74 : Dot Product
Given the following two vectors, 
The dot product of a paired set of vectors can be found by summing up the individual products of the multiplications between matched directional vectors.
Note that the dot product is a scalar value rather than a vector; there's no directional term.
Now considering our problem, we're given the vectors
The dot product can be found following the example above:
Example Question #71 : Dot Product
Given the following two vectors, 
The dot product of a paired set of vectors can be found by summing up the individual products of the multiplications between matched directional vectors.
Note that the dot product is a scalar value rather than a vector; there's no directional term.
Now considering our problem, we're given the vectors
The dot product can be found following the example above:
Example Question #71 : Dot Product
Given the following two vectors, 
The dot product of a paired set of vectors can be found by summing up the individual products of the multiplications between matched directional vectors.
Note that the dot product is a scalar value rather than a vector; there's no directional term.
Now considering our problem, we're given the vectors
The dot product can be found following the example above:
Example Question #71 : Dot Product
Given the following two vectors, 
The dot product of a paired set of vectors can be found by summing up the individual products of the multiplications between matched directional vectors.
Note that the dot product is a scalar value rather than a vector; there's no directional term.
Now considering our problem, we're given the vectors
The dot product can be found following the example above:
Example Question #72 : Dot Product
Evaluate the dot product 
None of the other answers
None of the other answers
The correct answer is 
To compute the dot product, we take the corresponding components of each vector, and multiply them together. In this case, we have 
Note that taking the dot product of any two vectors will always return a scalar-valued expression (or just a simple scalar). There should be no vector brackets in your answer.
Example Question #2392 : Calculus 3
Find the dot product of the two vectors:
19.07
23.58
20.72
22.14
25.32
25.32
The dot product of two vectors is defined as:
For the given vectors, this is:
Example Question #2393 : Calculus 3
Find the magnitude of the following vector:
The magnitude of a vector is given by:
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