Calculus 3 : Calculus 3
Study concepts, example questions & explanations for Calculus 3
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Example Questions
Example Question #2361 : Calculus 3
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 #352 : 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 #2361 : Calculus 3
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 #2362 : Calculus 3
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 #2362 : Calculus 3
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 #49 : 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 #50 : 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 #2363 : Calculus 3
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:
Since the dot product is zero, it can be inferred that these two vectors are perpendicular!
Example Question #51 : 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 #2361 : Calculus 3
Find the dot product between the two vectors 
None of the other answers
To take the dot product of two vectors, we multiply their common components, and then add.
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