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GRE Subject Test: Math : Linear Algebra

Study concepts, example questions & explanations for GRE Subject Test: Math

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All GRE Subject Test: Math Resources

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Example Questions

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Example Question #381 : Gre Subject Test: Math

Express 4i-9j in vector form.

Possible Answers:

$\left \langle 4,-9,0\right \rangle$

$\left \langle 4,0,-9\right \rangle$

$\left \langle 4,9,0\right \rangle$

$\left \langle 4,-9\right \rangle$

$\left \langle 0,4,-9\right \rangle$

Correct answer:

$\left \langle 4,-9,0\right \rangle$

Explanation:

In order to express 4i-9j in vector form, we must use the coefficients of i, j, and to represent the -, -, and -coordinates of the vector.

Therefore, its vector form is

$\left \langle 4,-9,0\right \rangle$ .

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Example Question #1 : Vector Form

Express -j+7k in vector form.

Possible Answers:

$\left \langle 0,-1,7\right \rangle$

$\left \langle -1,7,0\right \rangle$

None of the above

$\left \langle-1,7\right \rangle$

$\left \langle -1,0,7\right \rangle$

Correct answer:

$\left \langle 0,-1,7\right \rangle$

Explanation:

In order to express -j+7k in vector form, we will need to map its , , and coefficients to its -, -, and -coordinates.

Thus, its vector form is

$\left \langle 0,-1,7\right \rangle$ .

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Example Question #11 : Vectors

Express 5i+9j-2k in vector form.

Possible Answers:

None of the above

$\left \langle 9,5,-2\right \rangle$

$\left \langle -2,5,9\right \rangle$

$\left \langle 5,9,-2\right \rangle$

$\left \langle 9,-2,5\right \rangle$

Correct answer:

$\left \langle 5,9,-2\right \rangle$

Explanation:

In order to express 5i+9j-2k in vector form, we will need to map its , , and coefficients to its -, -, and -coordinates.

Thus, its vector form is

$\left \langle 5,9,-2\right \rangle$ .

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Example Question #12 : Vectors

Express -2i+3j in vector form.

Possible Answers:

None of the above

$\left \langle -2,0,3\right \rangle$

$\left \langle -2,3,0\right \rangle$

$\left \langle -2,3\right \rangle$

$\left \langle 0,-2,3\right \rangle$

Correct answer:

$\left \langle -2,3,0\right \rangle$

Explanation:

In order to express -2i+3j in vector form, we will need to map its , , and coefficients to its -, -, and -coordinates.

Thus, its vector form is

$\left \langle -2,3,0\right \rangle$ .

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Example Question #31 : Linear Algebra

What is the vector form of 4i+4j-2k ?

Possible Answers:

$\left \langle 4,4,-2\right \rangle$

$\left \langle-2,4,4\right \rangle$

$\left \langle 4,-2,4\right \rangle$

None of the above

$\left \langle 4,-2,4\right \rangle$

Correct answer:

$\left \langle 4,4,-2\right \rangle$

Explanation:

To find the vector form of 4i+4j-2k , we must map the coefficients of , , and to their corresponding , , and coordinates.

Thus, 4i+4j-2k becomes $\left \langle 4,4,-2\right \rangle$ .

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Example Question #14 : Vectors

What is the vector form of -9j+k ?

Possible Answers:

$\left \langle -9,1,0\right \rangle$

$\left \langle 1,0,-9\right \rangle$

$\left \langle 0,-9,1\right \rangle$

None of the above

$\left \langle -9,0,1\right \rangle$

Correct answer:

$\left \langle 0,-9,1\right \rangle$

Explanation:

To find the vector form of -9j+k , we must map the coefficients of , , and to their corresponding , , and coordinates.

Thus, -9j+k becomes $\left \langle 0,-9,1\right \rangle$ .

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Example Question #15 : Vectors

What is the vector form of -8i+2j-7k ?

Possible Answers:

$\left \langle -8,2,-7\right \rangle$

$\left \langle -7, 2, -8\right \rangle$

$\left \langle 2, -8,-7\right \rangle$

$\left \langle -8,-7, 2\right \rangle$

$\left \langle 7, -2, 8\right \rangle$

Correct answer:

$\left \langle -8,2,-7\right \rangle$

Explanation:

Given -8i+2j-7k , we need to map the , , and coefficients back to their corresponding , , and -coordinates.

Thus the vector form of -8i+2j-7k is $\left \langle -8,2,-7\right \rangle$ .

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Example Question #16 : Vectors

What is the vector form of j+8k ?

Possible Answers:

$\left \langle 0,1,8\right \rangle$

$\left \langle 0,8,1\right \rangle$

$\left \langle 1,0,8\right \rangle$

None of the above

$\left \langle 1,8,0\right \rangle$

Correct answer:

$\left \langle 0,1,8\right \rangle$

Explanation:

Given j+8k , we need to map the , , and coefficients back to their corresponding , , and -coordinates.

Thus the vector form of j+8k is $\left \langle 0,1,8\right \rangle$ .

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Example Question #17 : Vectors

What is the vector form of -i+3k ?

Possible Answers:

$\left \langle 0,-1,3\right \rangle$

$\left \langle -1,0,3\right \rangle$

$\left \langle 3,-1,0\right \rangle$

None of the above

$\left \langle -1,3,0\right \rangle$

Correct answer:

$\left \langle -1,0,3\right \rangle$

Explanation:

Given -i+3k , we need to map the , , and coefficients back to their corresponding , , and -coordinates.

Thus the vector form of -i+3k is $\left \langle -1,0,3\right \rangle$ .

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Example Question #211 : Algebra

What is the vector form of 7i-4j+k ?

Possible Answers:

$\left \langle7,-4,1\right \rangle$

$\left \langle 7,-4,1\right \rangle$

$\left \langle1,-4,7\right \rangle$

$\left \langle-4,1,7\right \rangle$

$\left \langle 1,7,-4\right \rangle$

Correct answer:

$\left \langle 7,-4,1\right \rangle$

Explanation:

Given 7i-4j+k , we need to map the , , and coefficients back to their corresponding , , and -coordinates.

Thus the vector form of 7i-4j+k is

$\left \langle 7,-4,1\right \rangle$ .

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GRE Subject Test: Math : Linear Algebra

Study concepts, example questions & explanations for GRE Subject Test: Math

All GRE Subject Test: Math Resources

Example Questions

Example Question #381 : Gre Subject Test: Math

Example Question #1 : Vector Form

Example Question #11 : Vectors

Example Question #12 : Vectors

Example Question #31 : Linear Algebra

Example Question #14 : Vectors

Example Question #15 : Vectors

Example Question #16 : Vectors

Example Question #17 : Vectors

Example Question #211 : Algebra

All GRE Subject Test: Math Resources

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