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Example Questions
Example Question #251 : Vector
What is the cross product of and
?
In order to find the cross product of two three-dimensional vectors, we must find the determinant of a matrix comprised of the vectors' elements. That is, if and
, then
.
Given and
, the cross product
is:
Example Question #591 : Parametric, Polar, And Vector
What is the cross product of and
?
In order to find the cross product of two three-dimensional vectors, we must find the determinant of a matrix comprised of the vectors' elements. That is, if and
, then
.
Given and
, the cross product
is:
Example Question #592 : Parametric, Polar, And Vector
What is the cross product of and
?
In order to find the cross product of two three-dimensional vectors, we must find the determinant of a matrix comprised of the vectors' elements. That is, if and
, then
.
Given and
?the cross product
is:
Example Question #91 : Vector Calculations
Vector .
Calculate the magnitude, or , of
Calculating magnitude:
If
Then the magnitude of is
Note: Magnitude, length, and norm are synonymous.
cannot be further reduced, so the magnitude of
is
Example Question #251 : Vector
Vector .
Calculate the magnitude, or , of
Calculating magnitude:
If
Then the magnitude of is
Note: Magnitude, length, and norm are synonymous.
cannot be further reduced, and so
Example Question #602 : Parametric, Polar, And Vector
Vector .
Calculate the magnitude of , as in
Calculating magnitude:
If
Then the magnitude of is
Note: Magnitude, length, and norm are synonymous.
Note: , and this is a basic trig identity that you should know.
cannot be further reduced, and so
Example Question #603 : Parametric, Polar, And Vector
Vector .
Calculate the magnitude, or , of
Calculating magnitude:
If
Then the magnitude of is
Note: Magnitude, length, and norm are synonymous.
Example Question #33 : Functions, Graphs, And Limits
Calculate
Calculate the sum of vectors.
In general,
Solution:
Example Question #604 : Parametric, Polar, And Vector
Calculate
Calculate the sum of vectors.
In general,
Solution:
Example Question #251 : Vector
Calculate
Calculate the sum of vectors.
In general,
Solution:
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