# GRE Subject Test: Math : Vectors & Spaces

## Example Questions

### Example Question #261 : Algebra

Given points  and , what is the vector form of the distance between the points?

Explanation:

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 #69 : Vector

Given points  and , what is the vector form of the distance between the points?

Explanation:

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 #70 : Vector

Given points  and , what is the vector form of the distance between the points?

Explanation:

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 #71 : Vector

What is the vector form of ?

Explanation:

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 #72 : Vector

What is the vector form of ?

Explanation:

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 : Vector

Given points  and , what is the vector form of the distance between the points?

Explanation:

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 #451 : Gre Subject Test: Math

Given points  and , what is the vector form of the distance between the points?

Explanation:

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 #71 : Vectors & Spaces

Given points  and , what is the vector form of the distance between the points?

Explanation:

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 #76 : Vector

What is the vector form of ?

Explanation:

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 #77 : Vector

What is the vector form of ?