All Calculus 3 Resources
Example Questions
Example Question #111 : Dot Product
Solve:
The dot product of two vectors is given by the sum of the products of the corresponding components (for example, )
Our answer is
Example Question #427 : Vectors And Vector Operations
Find the dot product.
The dot product for the vectors
is defined as
For the vectors in this problem we find that
Example Question #112 : Dot Product
Find the dot product.
The dot product for the vectors
is defined as
For the vectors in this problem we find that
Example Question #427 : Vectors And Vector Operations
Compute , where and .
The formula for the dot product is
.
Using the given vectors, we get
.
Example Question #2432 : Calculus 3
Compute the dot product of the vectors and .
The formula for the dot product of vectors
and
is
.
Using the vectors we were given, this becomes
which equals
Example Question #2433 : Calculus 3
Let a = (1,−2,1), b = (2,−3,−2), and c = (2,0,4). Then
Cannot be determined
Lets start by :
Then we multiply :
Example Question #112 : Dot Product
Find all numbers x for which 2i+5j+2xk ⊥ 6i+4j−xk:
if 2i+5j+2xk ⊥ 6i+4j−xk, then the dot product of the two vectors should be 0.
Therefore,
Example Question #2434 : Calculus 3
Find the dot product between the two vectors
The dot product for the vectors
is defined as
For the vectors in this problem we find that
Example Question #431 : Vectors And Vector Operations
Find the dot product between and
The formula for the dot product between two vectors and is . Using the vectors in the problem statement, this becomes .
Example Question #432 : Vectors And Vector Operations
Evaluate the dot product .
The dot product for the vectors
is defined as
For the vectors in this problem we find that
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