Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: High School - Number and Quantity : Vector Subtraction as the Additive Inverse: CCSS.Math.Content.HSN-VM.B.4c

Study concepts, example questions & explanations for Common Core: High School - Number and Quantity

Create An Account

All Common Core: High School - Number and Quantity Resources

6 Diagnostic Tests 49 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Vector Subtraction As The Additive Inverse: Ccss.Math.Content.Hsn Vm.B.4c

If v=<-3,4> , and w=<2,3> , what is v-w ?

Possible Answers:

v-w=<5,1>

v-w=<5,-1>

v-w=<1,-5>

v-w=<-5,-1>

v-w=<-5,1>

Correct answer:

v-w=<-5,1>

Explanation:

In order to solve this problem, we need to know how to subtract vectors. It is simply subtracting the x components and the y components.

$x=(x\: \mbox{component in}\: v) -(x\:\mbox{component in}\: w )$

$y=(y\: \mbox{component in}\: v) -(y\:\mbox{component in}\: w )$

$(x\: \mbox{component in}\: v)=-3$

$(x\:\mbox{component in}\: w)=2$

$(y\: \mbox{component in}\: v)=4$

$(y\: \mbox{component in}\: w)=3$

x=-3-2=-5

y=4-3=1

So our final answer is <-5,1> .

Below is a visual representation.

Vecsub

Report an Error

Example Question #2 : Vector Subtraction As The Additive Inverse: Ccss.Math.Content.Hsn Vm.B.4c

If v=<4,-2> , and w=<4,3> , what is v-w ?

Possible Answers:

v-w=<0,-5>

v-w=<-5,0>

v-w=<5,0>

v-w=<0,5>

v-w=<8,1>

Correct answer:

v-w=<0,-5>

Explanation:

In order to solve this problem, we need to know how to subtract vectors. It is simply subtracting the x components and the y components.

$x=(x\: \mbox{component in}\: v) -(x\:\mbox{component in}\: w )$

$y=(y\: \mbox{component in}\: v) -(y\:\mbox{component in}\: w )$

$(x\: \mbox{component in}\: v)=4$

$(x\:\mbox{component in}\: w)=4$

$(y\: \mbox{component in}\: v)=-2$

$(y\: \mbox{component in}\: w)=3$

x=4-4=0

y=-2-3=-5

So our final answer is <0,-5> .

Below is a visual representation.

Screen shot 2016 03 08 at 9.31.39 am

Report an Error

Example Question #3 : Vector Subtraction As The Additive Inverse: Ccss.Math.Content.Hsn Vm.B.4c

If v=<-10,5> , and w=<-6,-7> , what is v-w ?

Possible Answers:

v-w=<-16,2>

v-w=<12,4>

v-w=<-4,12>

v-w=<12,-4>

v-w=<4,12>

Correct answer:

v-w=<-4,12>

Explanation:

In order to solve this problem, we need to know how to subtract vectors. It is simply subtracting the x components and the y components.

$x=(x\: \mbox{component in}\: v) -(x\:\mbox{component in}\: w )$

$y=(y\: \mbox{component in}\: v) -(y\:\mbox{component in}\: w )$

$(x\: \mbox{component in}\: v)=-10$

$(x\:\mbox{component in}\: w)=-6$

$(y\: \mbox{component in}\: v)=5$

$(y\: \mbox{component in}\: w)=-7$

x=-10-(-6)=-10+6=-4

y=5-(-7)=5+7=12

So our final answer is <-4,12> .

Below is a visual representation.

Screen shot 2016 03 08 at 9.52.05 am

Report an Error

Example Question #64 : Vector & Matrix Quantities

If v=<1,1> , and w=<-7,-9> , what is v-w ?

Possible Answers:

v-w=<10,8>

v-w=<8,10>

v-w=<-10,-8>

v-w=<8,-10>

v-w=<-8,10>

Correct answer:

v-w=<8,10>

Explanation:

In order to solve this problem, we need to know how to subtract vectors. It is simply subtracting the x components and the y components.

$x=(x\: \mbox{component in}\: v) -(x\:\mbox{component in}\: w )$

$y=(y\: \mbox{component in}\: v) -(y\:\mbox{component in}\: w )$

$(x\: \mbox{component in}\: v)=1$

$(x\:\mbox{component in}\: w)=-7$

$(y\: \mbox{component in}\: v)=1$

$(y\: \mbox{component in}\: w)=-9$

x=1-(-7)=1+7=8

y=1-(-9)=1+9=10

So our final answer is <8,10> .

Below is a visual representation.

Screen shot 2016 03 08 at 10.22.33 am

Report an Error

Example Question #65 : Vector & Matrix Quantities

If v=<-2,-2> , and w=<-1,-4> , what is v-w ?

Possible Answers:

<1,-2>

<-2,-1>

<2,1>

<-1,2>

<-6,-1>

Correct answer:

<-1,2>

Explanation:

In order to solve this problem, we need to know how to subtract vectors. It is simply subtracting the x components and the y components.

$x=(x\: \mbox{component in}\: v) -(x\:\mbox{component in}\: w )$

$y=(y\: \mbox{component in}\: v) -(y\:\mbox{component in}\: w )$

$(x\: \mbox{component in}\: v)=-2$

$(x\:\mbox{component in}\: w)=-1$

$(y\: \mbox{component in}\: v)=-2$

$(y\: \mbox{component in}\: w)=-4$

x=-2-(-1)=-2+1=-1

y=-2-(-4)=-2+4=2

So our final answer is <-1,2> .

Below is a visual representation.

Screen shot 2016 03 10 at 12.55.41 pm

Report an Error

Example Question #161 : High School: Number And Quantity

If v=<-10,-1> , and w=<-9,-7> , what is v-w ?

Possible Answers:

<-1,6>

<-1,-6>

<1,6>

<1,-6>

<6, -1>

Correct answer:

<-1,6>

Explanation:

In order to solve this problem, we need to know how to subtract vectors. It is simply subtracting the x components and the y components.

$x=(x\: \mbox{component in}\: v) -(x\:\mbox{component in}\: w )$

$y=(y\: \mbox{component in}\: v) -(y\:\mbox{component in}\: w )$

$(x\: \mbox{component in}\: v)=-10$

$(x\:\mbox{component in}\: w)=-9$

$(y\: \mbox{component in}\: v)=-1$

$(y\: \mbox{component in}\: w)=-7$

x=-10-(-9)=-10+9=-1

y=-1-(-7)=-1+7=6

So our final answer is <-1,6> .

Below is a visual representation.

Screen shot 2016 03 10 at 1.03.06 pm

Report an Error

Example Question #4 : Vector Subtraction As The Additive Inverse: Ccss.Math.Content.Hsn Vm.B.4c

If v=<-9,-9> , and w=<-4,11> , what is v-w ?

Possible Answers:

<-5,-20>

<-13,-20>

<5,-20>

<13,20>

<13,-20>

Correct answer:

<-5,-20>

Explanation:

In order to solve this problem, we need to know how to subtract vectors. It is simply subtracting the x components and the y components.

$x=(x\: \mbox{component in}\: v) -(x\:\mbox{component in}\: w )$

$y=(y\: \mbox{component in}\: v) -(y\:\mbox{component in}\: w )$

$(x\: \mbox{component in}\: v)=-9$

$(x\:\mbox{component in}\: w)=-4$

$(y\: \mbox{component in}\: v)=-9$

$(y\: \mbox{component in}\: w)=11$

x=-9-(-4)=-9+4=-5

y=-9-11=-20

So our final answer is <-5,-20> .

Below is a visual representation.

Screen shot 2016 03 10 at 1.09.46 pm

Report an Error

Example Question #5 : Vector Subtraction As The Additive Inverse: Ccss.Math.Content.Hsn Vm.B.4c

If v=<-8,-10> , and w=<4,14> , what is v-w ?

Possible Answers:

<-12,-24>

<24,-12>

<-12,24>

<-24,-12>

<-24,12>

Correct answer:

<-12,-24>

Explanation:

In order to solve this problem, we need to know how to subtract vectors. It is simply subtracting the x components and the y components.

$x=(x\: \mbox{component in}\: v) -(x\:\mbox{component in}\: w )$

$y=(y\: \mbox{component in}\: v) -(y\:\mbox{component in}\: w )$

$(x\: \mbox{component in}\: v)=-8$

$(x\:\mbox{component in}\: w)=4$

$(y\: \mbox{component in}\: v)=-10$

$(y\: \mbox{component in}\: w)=14$

x=-8-4=-12

y=-10-14=-24

So our final answer is <-12,-24> .

Below is a visual representation.

Screen shot 2016 03 10 at 1.16.09 pm

Report an Error

Example Question #61 : Vector & Matrix Quantities

If v=<-15,1> , and w=<-2,3> , what is v-w ?

Possible Answers:

<-13,-2>

<-13,3>

<-1,-2>

<-17,3>

<13,-2>

Correct answer:

<-13,-2>

Explanation:

In order to solve this problem, we need to know how to subtract vectors. It is simply subtracting the x components and the y components.

$x=(x\: \mbox{component in}\: v) -(x\:\mbox{component in}\: w )$

$y=(y\: \mbox{component in}\: v) -(y\:\mbox{component in}\: w )$

$(x\: \mbox{component in}\: v)=-15$

$(x\:\mbox{component in}\: w)=-2$

$(y\: \mbox{component in}\: v)=1$

$(y\: \mbox{component in}\: w)=3$

x=-15-(-2)=-15+2=-13

y=1-3=-2

So our final answer is <-13,-2> .

Below is a visual representation.

Screen shot 2016 03 10 at 1.25.04 pm

Report an Error

Example Question #6 : Vector Subtraction As The Additive Inverse: Ccss.Math.Content.Hsn Vm.B.4c

If v=<3,4> , and w=<-3,-12> , what is v-w ?

Possible Answers:

<6,-16>

<6,16>

<16,6>

<0,8>

<0,-8>

Correct answer:

<6,16>

Explanation:

In order to solve this problem, we need to know how to subtract vectors. It is simply subtracting the x components and the y components.

$x=(x\: \mbox{component in}\: v) -(x\:\mbox{component in}\: w )$

$y=(y\: \mbox{component in}\: v) -(y\:\mbox{component in}\: w )$

$(x\: \mbox{component in}\: v)=3$

$(x\:\mbox{component in}\: w)=-3$

$(y\: \mbox{component in}\: v)=4$

$(y\: \mbox{component in}\: w)=-12$

x=3-(-3)=3+3=6

y=4-(-12)=4+12=16

So our final answer is <6,16> .

Below is a visual representation.

Screen shot 2016 03 10 at 1.38.47 pm

Report an Error

View Tutors

Shweta
Certified Tutor

Virginia Commonwealth University, Bachelor of Science, Biology, General.

View Tutors

Christine
Certified Tutor

University of Toronto, Bachelor in Arts, English. Antioch University-Los Angeles, Master of Fine Arts, Creative Writing.

View Tutors

Anisha
Certified Tutor

Georgia Institute of Technology-Main Campus, Bachelor of Engineering, Aerospace Engineering.

All Common Core: High School - Number and Quantity Resources

6 Diagnostic Tests 49 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Biology Tutors in Washington DC, Spanish Tutors in Miami, SSAT Tutors in New York City, French Tutors in Seattle, GRE Tutors in Dallas Fort Worth, Computer Science Tutors in Atlanta, French Tutors in San Diego, GMAT Tutors in New York City, GRE Tutors in Denver, Spanish Tutors in San Francisco-Bay Area

Popular Courses & Classes

SAT Courses & Classes in Los Angeles, GRE Courses & Classes in Denver, SAT Courses & Classes in San Francisco-Bay Area, ISEE Courses & Classes in Boston, ACT Courses & Classes in Denver, MCAT Courses & Classes in Boston, GMAT Courses & Classes in Seattle, LSAT Courses & Classes in Philadelphia, GMAT Courses & Classes in Phoenix, ACT Courses & Classes in San Francisco-Bay Area

Popular Test Prep

ACT Test Prep in San Francisco-Bay Area, SAT Test Prep in Denver, SSAT Test Prep in Los Angeles, GRE Test Prep in San Francisco-Bay Area, LSAT Test Prep in Atlanta, GMAT Test Prep in Seattle, LSAT Test Prep in Boston, ACT Test Prep in Atlanta, SAT Test Prep in Atlanta, ACT Test Prep in Denver

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

Common Core: High School - Number and Quantity : Vector Subtraction as the Additive Inverse: CCSS.Math.Content.HSN-VM.B.4c

Study concepts, example questions & explanations for Common Core: High School - Number and Quantity

All Common Core: High School - Number and Quantity Resources

Example Questions

Example Question #1 : Vector Subtraction As The Additive Inverse: Ccss.Math.Content.Hsn Vm.B.4c

Example Question #2 : Vector Subtraction As The Additive Inverse: Ccss.Math.Content.Hsn Vm.B.4c

Example Question #3 : Vector Subtraction As The Additive Inverse: Ccss.Math.Content.Hsn Vm.B.4c

Example Question #64 : Vector & Matrix Quantities

Example Question #65 : Vector & Matrix Quantities

Example Question #161 : High School: Number And Quantity

Example Question #4 : Vector Subtraction As The Additive Inverse: Ccss.Math.Content.Hsn Vm.B.4c

Example Question #5 : Vector Subtraction As The Additive Inverse: Ccss.Math.Content.Hsn Vm.B.4c

Example Question #61 : Vector & Matrix Quantities

Example Question #6 : Vector Subtraction As The Additive Inverse: Ccss.Math.Content.Hsn Vm.B.4c

All Common Core: High School - Number and Quantity Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: