We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: High School - Number and Quantity : Vector Components: CCSS.Math.Content.HSN-VM.A.2

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 Components: Ccss.Math.Content.Hsn Vm.A.2

What are the components of a vector that has a terminal point of (5,10) , and an initial point of (2,3) ?

Possible Answers:

<-3,-7>

<3.5, -3>

<7,3>

<0,0>

<3,7>

Correct answer:

<3,7>

Explanation:

In order to determine what the components of this vector has, we need to remember how to find components of a vector. It's simply the difference between the terminal point and initial point. The first step is to write an equation for what our "new" x and y are.

$x=\mbox{(x in terminal point)}-\mbox{(x in initial point) }$

$y=\mbox{(y in terminal point)}-\mbox{(y in initial point) }$

Now lets identify what these values are.

$\\ \mbox{(x in terminal point)}=5 \\ \mbox{(x in initial point)}=2 \\ \mbox{(y in terminal point)}=10\\ \mbox{(y in initial point)}= 3$

x=5-2=3

y=10-3=7

To write this in component form, we need to put our , and into .

So the final answer is <3,7>

Below is a visual representation of what we just did.

Term

The blue line is our original vector, and the red line is the same vector, but begins at the origin rather than at the initial point.

Report an Error

Example Question #2 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

What are the components of a vector that has a terminal point of (5,-10) , and an initial point of (-2,3) ?

Possible Answers:

<-13,-7>

<-13,7>

<-7,13>

<7,-13>

<13,7>

Correct answer:

<7,-13>

Explanation:

n order to determine what the components of this vector has, we need to remember how to find components of a vector. It's simply the difference between the terminal point and initial point. The first step is to write an equation for what our "new" x and y are.

$x=\mbox{(x in terminal point)}-\mbox{(x in initial point) }$

$y=\mbox{(y in terminal point)}-\mbox{(y in initial point) }$

Now lets identify what these values are.

$\\ \mbox{(x in terminal point)}=5 \\ \mbox{(x in initial point)}=-2 \\ \mbox{(y in terminal point)}=-10\\ \mbox{(y in initial point)}= 3$

x=5-(-2)=7

y=-10-3=-13

To write this in component form, we need to put our , and into .

So the final answer is <7,-13>

Below is a visual representation of what we just did.

Comp2

Report an Error

Example Question #3 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

What are the components of a vector that has a terminal point of (1,1) , and an initial point of (-6,-9) ?

Possible Answers:

<0,0>

<-7,-10>

<-10,-7>

<10,7>

<7,10>

Correct answer:

<7,10>

Explanation:

$x=\mbox{(x in terminal point)}-\mbox{(x in initial point) }$

$y=\mbox{(y in terminal point)}-\mbox{(y in initial point) }$

Now lets identify what these values are.

$\\ \mbox{(x in terminal point)}=1 \\ \mbox{(x in initial point)}=-6 \\ \mbox{(y in terminal point)}=1\\ \mbox{(y in initial point)}= -9$

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

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

To write this in component form, we need to put our , and into .

So the final answer is <7,10>

Below is a visual representation of what we just did.

Screen shot 2016 03 15 at 10.39.47 am

Report an Error

Example Question #4 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

What are the components of a vector that has a terminal point of (-9,1) , and an initial point of (5,-10) ?

Possible Answers:

<-14,-11>

<11,14>

<14,-11>

<-14,11>

<11,-14>

Correct answer:

<-14,11>

Explanation:

$x=\mbox{(x in terminal point)}-\mbox{(x in initial point) }$

$y=\mbox{(y in terminal point)}-\mbox{(y in initial point) }$

Now lets identify what these values are.

$\\ \mbox{(x in terminal point)}=-9 \\ \mbox{(x in initial point)}=2 \\ \mbox{(y in terminal point)}=1\\ \mbox{(y in initial point)}= -10$

x=-9-5=-14

y=1-(-10)=1+10=11

To write this in component form, we need to put our , and into .

So the final answer is <-14,11>

Below is a visual representation of what we just did.

Screen shot 2016 03 15 at 10.52.08 am

Report an Error

Example Question #5 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

What are the components of a vector that has a terminal point of (3,-8) , and an initial point of (6,-13) ?

Possible Answers:

<-21,9>

<-3,5>

<9,-21>

<5,-3>

<-5,-7>

Correct answer:

<-3,5>

Explanation:

$x=\mbox{(x in terminal point)}-\mbox{(x in initial point) }$

$y=\mbox{(y in terminal point)}-\mbox{(y in initial point) }$

Now lets identify what these values are.

$\\ \mbox{(x in terminal point)}=3 \\ \mbox{(x in initial point)}=6 \\ \mbox{(y in terminal point)}=-8\\ \mbox{(y in initial point)}= -13$

x=3-6=-3

y=-8-(-13)=-8+13=5

To write this in component form, we need to put our , and into .

So the final answer is <-3,5>

Below is a visual representation of what we just did.

Screen shot 2016 03 15 at 12.32.48 pm

Report an Error

Example Question #1 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

What are the components of a vector that has a terminal point of (-1,-5) , and an initial point of (-4,-9) ?

Possible Answers:

<4,3>

<3,4>

<8,-1>

<4,5>

<-4,3>

Correct answer:

<3,4>

Explanation:

$x=\mbox{(x in terminal point)}-\mbox{(x in initial point) }$

$y=\mbox{(y in terminal point)}-\mbox{(y in initial point) }$

Now lets identify what these values are.

$\\ \mbox{(x in terminal point)}=-1 \\ \mbox{(x in initial point)}=-4 \\ \mbox{(y in terminal point)}=-5\\ \mbox{(y in initial point)}= -9$

x=-1-(-4)=-1+4=3

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

To write this in component form, we need to put our , and into .

So the final answer is <3,4>

Below is a visual representation of what we just did.

Screen shot 2016 03 16 at 12.09.51 pm

Report an Error

Example Question #7 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

What are the components of a vector that has a terminal point of (-3,10) , and an initial point of (-4,12) ?

Possible Answers:

<-2,1>

<1,-2>

<-15,14>

<14,-15>

<1,2>

Correct answer:

<1,-2>

Explanation:

$x=\mbox{(x in terminal point)}-\mbox{(x in initial point) }$

$y=\mbox{(y in terminal point)}-\mbox{(y in initial point) }$

Now lets identify what these values are.

$\\ \mbox{(x in terminal point)}=-3 \\ \mbox{(x in initial point)}=-4 \\ \mbox{(y in terminal point)}=10\\ \mbox{(y in initial point)}=12$

x=-3-(-4)=-3+4=1

y=10-12=-2

To write this in component form, we need to put our , and into .

So the final answer is <1,-2>

Below is a visual representation of what we just did.

Screen shot 2016 03 16 at 12.32.22 pm

Report an Error

Example Question #8 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

What are the components of a vector that has a terminal point of (1,9) , and an initial point of (-7,5) ?

Possible Answers:

<8,14>

<4,-6>

<-6,4>

<8,4>

<4,6>

Correct answer:

<8,4>

Explanation:

$x=\mbox{(x in terminal point)}-\mbox{(x in initial point) }$

$y=\mbox{(y in terminal point)}-\mbox{(y in initial point) }$

Now lets identify what these values are.

$\\ \mbox{(x in terminal point)}=1 \\ \mbox{(x in initial point)}=-7 \\ \mbox{(y in terminal point)}=9\\ \mbox{(y in initial point)}= 5$

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

y=9-5=4

To write this in component form, we need to put our , and into .

So the final answer is <8,4>

Below is a visual representation of what we just did.

Screen shot 2016 03 16 at 12.41.19 pm

Report an Error

Example Question #1 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

What are the components of a vector that has a terminal point of (4,6) , and an initial point of (0,-8) ?

Possible Answers:

<4,14>

<6,12>

<14,4>

<12,6>

<-2,8>

Correct answer:

<4,14>

Explanation:

$x=\mbox{(x in terminal point)}-\mbox{(x in initial point) }$

$y=\mbox{(y in terminal point)}-\mbox{(y in initial point) }$

Now lets identify what these values are.

$\\ \mbox{(x in terminal point)}=4 \\ \mbox{(x in initial point)}=0 \\ \mbox{(y in terminal point)}=6\\ \mbox{(y in initial point)}= -8$

x=4-0=4

y=6-(-8)=6+8=14

To write this in component form, we need to put our , and into .

So the final answer is <4,14>

Below is a visual representation of what we just did.

Screen shot 2016 03 16 at 1.16.38 pm

Report an Error

Example Question #10 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

What are the components of a vector that has a terminal point of (3,-6) , and an initial point of (10,5) ?

Possible Answers:

<-7,-11>

<-11,-7>

<8,-4>

<8,4>

<-8,4>

Correct answer:

<-7,-11>

Explanation:

$x=\mbox{(x in terminal point)}-\mbox{(x in initial point) }$

$y=\mbox{(y in terminal point)}-\mbox{(y in initial point) }$

Now lets identify what these values are.

$\\ \mbox{(x in terminal point)}=3 \\ \mbox{(x in initial point)}=10 \\ \mbox{(y in terminal point)}=-6\\ \mbox{(y in initial point)}=5$

x=3-10=-7

y=-6-5=-11

To write this in component form, we need to put our , and into .

So the final answer is <-7,-11>

Below is a visual representation of what we just did.

Screen shot 2016 03 16 at 1.27.32 pm

Report an Error

View Tutors

Karin
Certified Tutor

SUNY College at Cortland, Bachelor of Science, Mathematics Teacher Education. New York University, Master of Arts, Educationa...

View Tutors

Ezam
Certified Tutor

University of the West Indies, Bachelor of Science, Mathematics and Computer Science. University of Phoenix-Central Valley Ca...

View Tutors

Nathan
Certified Tutor

California Polytechnic State University, San Luis Obispo, Bachelor, Electrical 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

Chemistry Tutors in Seattle, Calculus Tutors in Seattle, English Tutors in Houston, LSAT Tutors in Philadelphia, LSAT Tutors in New York City, MCAT Tutors in Boston, Math Tutors in San Diego, French Tutors in Houston, Physics Tutors in Chicago, SAT Tutors in Houston

Popular Courses & Classes

GRE Courses & Classes in Los Angeles, Spanish Courses & Classes in Los Angeles, ACT Courses & Classes in Phoenix, ISEE Courses & Classes in Seattle, GRE Courses & Classes in Seattle, GRE Courses & Classes in Washington DC, SSAT Courses & Classes in Dallas Fort Worth, LSAT Courses & Classes in San Diego, GMAT Courses & Classes in Philadelphia, LSAT Courses & Classes in Miami

Popular Test Prep

SSAT Test Prep in Boston, ISEE Test Prep in Dallas Fort Worth, GRE Test Prep in Denver, ISEE Test Prep in Chicago, GMAT Test Prep in Washington DC, LSAT Test Prep in San Francisco-Bay Area, LSAT Test Prep in Atlanta, ISEE Test Prep in Philadelphia, SAT Test Prep in Denver, GMAT Test Prep in Philadelphia

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 Components: CCSS.Math.Content.HSN-VM.A.2

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 Components: Ccss.Math.Content.Hsn Vm.A.2

Example Question #2 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

Example Question #3 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

Example Question #4 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

Example Question #5 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

Example Question #1 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

Example Question #7 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

Example Question #8 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

Example Question #1 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

Example Question #10 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

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: