# GRE Subject Test: Math : Vectors & Spaces

## Example Questions

### Example Question #91 : Vector Form

Express  in vector form.

Explanation:

In order to express  in vector form, we must use the coefficients of and  to represent the -, -, and -coordinates of the vector.

Therefore, its vector form is

.

### Example Question #1 : Vector Form

Express  in vector form.

None of the above

Explanation:

In order to express  in vector form, we will need to map its , and  coefficients to its -, -, and -coordinates.

Thus, its vector form is

### Example Question #31 : Linear Algebra

Express  in vector form.

None of the above

Explanation:

In order to express  in vector form, we will need to map its , and  coefficients to its -, -, and -coordinates.

Thus, its vector form is

### Example Question #871 : Calculus Ii

Express  in vector form.

None of the above

Explanation:

In order to express  in vector form, we will need to map its , and  coefficients to its -, -, and -coordinates.

Thus, its vector form is

### Example Question #31 : Linear Algebra

What is the vector form of ?

None of the above

Explanation:

To find the vector form of , we must map the coefficients of , and  to their corresponding , and  coordinates.

Thus,  becomes .

### Example Question #31 : Linear Algebra

What is the vector form of ?

None of the above

Explanation:

To find the vector form of , we must map the coefficients of , and  to their corresponding , and  coordinates.

Thus,  becomes .

### Example Question #32 : Linear Algebra

What is the vector form of ?

Explanation:

Given , we need to map the , and  coefficients back to their corresponding , and -coordinates.

Thus the vector form of  is .

### Example Question #31 : Linear Algebra

What is the vector form of ?

None of the above

Explanation:

Given , we need to map the , and  coefficients back to their corresponding , and -coordinates.

Thus the vector form of  is .

### Example Question #211 : Algebra

What is the vector form of ?

None of the above

Explanation:

Given , we need to map the , and  coefficients back to their corresponding , and -coordinates.

Thus the vector form of  is .

### Example Question #31 : Linear Algebra

What is the vector form of ?