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Example Questions
Example Question #91 : Cross Product
Find the cross product of the vectors and
To find the cross product of two vectors and
, you find the determinant of the 3x3 matrix
Using this formula, we evaluate using the vectors from the problem statement:
Example Question #92 : Cross Product
Find the cross product of the vectors and
To find the cross product of two vectors and
, you find the determinant of the 3x3 matrix
Using this formula, we evaluate using the vectors from the problem statement:
Example Question #93 : Cross Product
Find the cross product of the vectors and
To find the cross product of two vectors and
, you find the determinant of the 3x3 matrix
Using this formula, we evaluate using the vectors from the problem statement:
Example Question #94 : Cross Product
Find the cross product of the vectors and
To determine the cross product of two vectors and
, we find the determinant of the 3x3 matrix
, using the formula
Using the vectors from the problem statement, we get
Example Question #95 : Cross Product
Find the cross product , where
and
.
Recall the definition of the cross product of two vectors
and
, in terms of determinants:
where ,
, and
are the standard basis vectors pointing in the directions of the positive
-,
- and
-axes, respectively. We can apply this definition to calculate the cross product of
and
, as follows:
Example Question #95 : Cross Product
Let , and
.
Find .
We are trying to find the cross product between and
.
Recall the formula for cross product.
If , and
, then
.
Now apply this to our situation.
Example Question #201 : Vectors And Vector Operations
Let , and
.
Find .
We are trying to find the cross product between and
.
Recall the formula for cross product.
If , and
, then
.
Now apply this to our situation.
Example Question #1 : Vector Addition
Let ,
, and
,
find
In order to find , we need to add like components.
Example Question #1 : Vector Addition
Given the vectors
and
, compute
.
To add two vectors , we simply add their components:
Example Question #2 : Vector Addition
Given the vectors
and
, compute
.
To add two vectors , we simply add their components:
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