Calculus 3 : Calculus 3
Study concepts, example questions & explanations for Calculus 3
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Example Questions
Example Question #377 : 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 #378 : 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:
Observe from this zero result that the two vectors must be perpendicular!
Example Question #381 : 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 #61 : 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 #383 : 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 #384 : 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 #385 : 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 #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
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:
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