All Calculus 3 Resources
Example Questions
Example Question #113 : Dot Product
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 #117 : 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 #114 : Dot Product
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 #115 : Dot Product
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 #120 : Dot Product
Evaluate the dot product .
The dot product for the vectors
is defined as
For the vectors in this problem we find that
Example Question #121 : Dot Product
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 #431 : Vectors And Vector Operations
Solve:
The dot product of two vectors is given by the sum of the products of the corresponding components (for example, )
Using this, we get
Example Question #122 : Dot Product
Find the dot product between the vectors and
.
The formula for the dot product between two vectors and
is
. We then get
Example Question #432 : Vectors And Vector Operations
Solve:
The dot product of two vectors is given by the sum of the products of the corresponding components (for example )
Our final answer is
Example Question #123 : Dot Product
Find the dot product between the vectors and
.
he formula for the dot product between two vectors and
is
. We then get
Certified Tutor
All Calculus 3 Resources
