Call Now to Set Up Tutoring:

(888) 888-0446

GRE Subject Test: Math : Algebra

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

Create An Account

All GRE Subject Test: Math Resources

2 Diagnostic Tests 148 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #361 : Parametric, Polar, And Vector

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

Possible Answers:

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

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

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

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

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

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

Report an Error

Example Question #441 : Parametric, Polar, And Vector

What is the vector form of j+8k ?

Possible Answers:

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

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

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

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

None of the above

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

Report an Error

Example Question #11 : Vectors & Spaces

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

Possible Answers:

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

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

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

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

None of the above

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

Report an Error

Example Question #362 : Parametric, Polar, And Vector

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

Possible Answers:

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

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

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

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

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

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

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

Report an Error

Example Question #363 : Parametric, Polar, And Vector

What is the vector form of 5i-2j+9k ?

Possible Answers:

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

None of the above

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

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

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

Correct answer:

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

Explanation:

Given 5i-2j+9k , we need to map the , , and coefficients back to their corresponding , , and -coordinates.

Thus the vector form of 5i-2j+9k is

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

Report an Error

Example Question #21 : Vectors

What is the vector form of 2i-k ?

Possible Answers:

$\left \langle 2,-1, 0\right \rangle$

None of the above

$\left \langle 0,-1,2\right \rangle$

$\left \langle -1,2, 0\right \rangle$

$\left \langle 2,0,-1\right \rangle$

Correct answer:

$\left \langle 2,0,-1\right \rangle$

Explanation:

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

Thus the vector form of 2i-k is

$\left \langle 2,0,-1\right \rangle$ .

Report an Error

Example Question #364 : Parametric, Polar, And Vector

What is the dot product of $a=\left \langle 7,-7,0\right \rangle$ and $b=\left \langle 2, -1,8\right \rangle$ ?

Possible Answers:

Correct answer:

Explanation:

The dot product of two vectors is the sum of the products of the vectors' corresponding elements. Given $a=\left \langle 7,-7,0\right \rangle$ and $b=\left \langle 2, -1,8\right \rangle$ , then:

$\left \langle 7,-7,0\right \rangle\times \left \langle 2, -1,8\right \rangle$

$=(7\times 2)+(-7\times -1)+(0\times 2)$

=14+7+0

=21

Report an Error

Example Question #21 : Vector

What is the dot product of $a=\left \langle 4,1,-1\right \rangle$ and $b=\left \langle 2, -1,8\right \rangle$ ?

Possible Answers:

Correct answer:

Explanation:

The dot product of two vectors is the sum of the products of the vectors' corresponding elements. Given $a=\left \langle 4,1,-1\right \rangle$ and $b=\left \langle 2, -1,8\right \rangle$ , then:

$\left \langle 4,1,-1\right \rangle\times \left \langle 2, -1,8\right \rangle$

$=(4\times 2)+(1\times -1)+(-1\times 8)$

=8+(-1)+(-8)

=-1

Report an Error

Example Question #25 : Vectors

What is the dot product of $a=\left \langle 3,0,-9\right \rangle$ and $b=\left \langle -9, 2,-3\right \rangle$ ?

Possible Answers:

Correct answer:

Explanation:

The dot product of two vectors is the sum of the products of the vectors' corresponding elements. Given $a=\left \langle 3,0,-9\right \rangle$ and $b=\left \langle -9, 2,-3\right \rangle$ , then:

$\left \langle 3,0,-9\right \rangle\times \left \langle -9, 2,-3\right \rangle$

$=(3\times -9)+(0\times 2)+(-9\times -3)$

=(-27)+0+27

Report an Error

Example Question #22 : Vector

What is the vector form of $a=\left \langle 3,-2,7\right \rangle$ ?

Possible Answers:

3i-2j+7k

-3i-2j-7k

3i+2j+7k

3i+2j-7k

3i-2j-7k

Correct answer:

3i-2j+7k

Explanation:

In order to derive the vector form, we must map the , , -coordinates to their corresponding , , and coefficients.

That is, given $a=\left \langle a_{1},a_{2},a_{3}\right \rangle$ , the vector form is $a_{1}i+a_{2}j+a_{3}k$ .

So for $a=\left \langle 3,-2,7\right \rangle$ , we can derive the vector form 3i-2j+7k .

Report an Error

View Tutors

Magdy
Certified Tutor

Cairo University, Egypt, Bachelor of Science, Electrical Engineering. New Mexico State University-Main Campus, Doctor of Phil...

View Tutors

Gregory
Certified Tutor

Pennsylvania State University-Main Campus, Bachelor of Science, Chemical Engineering. Carnegie Mellon University, Doctor of P...

View Tutors

Bahaa
Certified Tutor

Concordia University-Ann Arbor, Master of Arts Teaching, Mathematics Teacher Education.

All GRE Subject Test: Math Resources

2 Diagnostic Tests 148 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

English Tutors in Dallas Fort Worth, Spanish Tutors in Miami, Physics Tutors in Boston, Reading Tutors in San Diego, Computer Science Tutors in Dallas Fort Worth, Computer Science Tutors in Seattle, Spanish Tutors in Philadelphia, MCAT Tutors in San Francisco-Bay Area, Spanish Tutors in Chicago, Statistics Tutors in Phoenix

Popular Courses & Classes

GRE Courses & Classes in Phoenix, ISEE Courses & Classes in Los Angeles, Spanish Courses & Classes in Chicago, LSAT Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in Denver, Spanish Courses & Classes in Boston, ACT Courses & Classes in Dallas Fort Worth, ISEE Courses & Classes in Boston, GRE Courses & Classes in Los Angeles, GRE Courses & Classes in Philadelphia

Popular Test Prep

SAT Test Prep in Dallas Fort Worth, LSAT Test Prep in New York City, SSAT Test Prep in Denver, GRE Test Prep in Denver, ACT Test Prep in New York City, SSAT Test Prep in New York City, ACT Test Prep in San Diego, GRE Test Prep in San Diego, ISEE Test Prep in Atlanta, ACT Test Prep in San Francisco-Bay Area

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

GRE Subject Test: Math : Algebra

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

All GRE Subject Test: Math Resources

Example Questions

Example Question #361 : Parametric, Polar, And Vector

Example Question #441 : Parametric, Polar, And Vector

Example Question #11 : Vectors & Spaces

Example Question #362 : Parametric, Polar, And Vector

Example Question #363 : Parametric, Polar, And Vector

Example Question #21 : Vectors

Example Question #364 : Parametric, Polar, And Vector

Example Question #21 : Vector

Example Question #25 : Vectors

Example Question #22 : Vector

All GRE Subject Test: Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: