Calculus 3 : Calculus 3
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Example Questions
Example Question #345 : 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:
The zero result shows that these two vectors are perpendicular.
Example Question #346 : 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:
Note that since we found a zero value, these two vectors must be perpendicular!
Example Question #31 : 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 #32 : 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 #33 : Dot Product
Find the dot product between the two vectors.
The dot product for two vectors 
is defined as
Fo the given vectors
Example Question #34 : Dot Product
Find the dot product of the two vectors.
The dot product for two vectors 
is defined as
Fo the given vectors
Example Question #2351 : Calculus 3
Find the dot product 
To find the dot product 
Example Question #41 : 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 #42 : 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 #43 : 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:
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