All GRE Subject Test: Math Resources
Example Questions
Example Question #51 : Vectors & Spaces
Write the following parametric equation in vector form.
When converting parametric equations to vector valued functions, remember that the order of vectors goes as follows.
Given the question
the vector would be given as,
.
Example Question #71 : Linear Algebra
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 .
Example Question #53 : Vectors & Spaces
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 .
Example Question #73 : Linear Algebra
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 .
Example Question #51 : Vectors
Find the vector in standard form if the initial point is located at and the terminal point is located at .
We must first find the vector in component form.
If the initial point is and the terminal point is then the component form of the vector is .
As such, the component form of the vector in the problem is
Next, any vector with component form can be written in standard form as .
Hence, the vector in standard form is
Example Question #52 : 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 .
Example Question #432 : Gre Subject Test: Math
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 .
Example Question #51 : Vectors
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:
Example Question #61 : 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 .
Example Question #82 : Linear Algebra
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:
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