GRE Quantitative Reasoning › Vectors
What is the vector form of ?
In order to derive the vector form, we must map the ,
,
-coordinates to their corresponding
,
, and
coefficients.
That is, given , the vector form is
.
So for , we can derive the vector form
.
Given points and
, what is the vector form of the distance between the points?
In order to derive the vector form of the distance between two points, we must find the difference between the ,
, and
elements of the points. That is, for any point
and
, the distance is the vector
.
Subbing in our original points and
, we get:
What is the vector form of ?
In order to derive the vector form, we must map the ,
,
-coordinates to their corresponding
,
, and
coefficients.
That is, given, the vector form is
.
So for , we can derive the vector form
.
What is the vector form of ?
In order to derive the vector form, we must map the ,
,
-coordinates to their corresponding
,
, and
coefficients.
That is, given, the vector form is
.
So for , we can derive the vector form
.
What is the vector form of ?
Given , we need to map the
,
, and
coefficients back to their corresponding
,
, and
-coordinates.
Thus the vector form of is
.
What is the vector form of ?
None of the above
In order to derive the vector form, we must map the vector elements to their corresponding ,
, and
coefficients. That is, given
, the vector form is
. So for
, we can derive the vector form
.
What is the vector form of ?
In order to derive the vector form, we must map the ,
,
-coordinates to their corresponding
,
, and
coefficients.
That is, given, the vector form is
.
So for , we can derive the vector form
.
What is the vector form of ?
In order to derive the vector form, we must map the ,
,
-coordinates to their corresponding
,
, and
coefficients. That is, given
, the vector form is
. So for
, we can derive the vector form
.
Given points and
, what is the vector form of the distance between the points?
In order to derive the vector form of the distance between two points, we must find the difference between the ,
, and
elements of the points. That is, for any point
and
, the distance is the vector
.
Subbing in our original points and
, we get:
What is the vector form of ?
None of the above
To find the vector form of , we must map the coefficients of
,
, and
to their corresponding
,
, and
coordinates.
Thus, becomes
.