We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Precalculus : Find a Direction Vector When Given Two Points

Study concepts, example questions & explanations for Precalculus

Create An Account

All Precalculus Resources

12 Diagnostic Tests 380 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Find A Direction Vector When Given Two Points

Find the directional vector of $\underset{BA}{\rightarrow}$ if points A and B are (2,3) and (-3,2) , respectively.

Possible Answers:

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

$\left \langle \sqrt{13},\sqrt{13}\right \rangle$

$\left \langle 5,5\right \rangle$

$\left \langle -5,-1\right \rangle$

$\left \langle 5,1\right \rangle$

Correct answer:

$\left \langle 5,1\right \rangle$

Explanation:

To find vector $\underset{BA}{\rightarrow}$ , the point A is the terminal point and point B is the starting point.

The directional vector can be determined by subtracting the start from the terminal point.

$\left \langle \underset{BA}\rightarrow \right \rangle=(2,3)-(-3,2)=\left \langle 5,1\right \rangle$

Report an Error

Example Question #1 : Find A Direction Vector When Given Two Points

Find the vector through the points

(12,5) and (-4,22) .

Possible Answers:

<8,27>

<16,-17>

<16,17>

<8,17>

<-16,27>

Correct answer:

<16,-17>

Explanation:

The correct vector is given by the subtraction of the two points: (12,5)-(-4,22) .

Since the subtraction here is component-wise, it is given by the formula: <x_1-x_2,y_1-y_2> .

This results in the vector <16,-17> .

The vector <-16,17> is also correct as it is a scalar multiple of the vector marked as correct, it is found by reversing the order of the subtraction of the two points.

Report an Error

Example Question #1 : Find A Direction Vector When Given Two Points

Find the vector that has the initial point A(2, -2) and the terminal point B(0, 4) .

Possible Answers:

<-6, -2>

<2, -6>

<6, -2>

<-2, 6>

Correct answer:

<-2, 6>

Explanation:

To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.

$\overrightarrow{AB}=<0-2, 4-(-2)>=<-2, 6>$

Report an Error

Example Question #1 : Find A Direction Vector When Given Two Points

Find the direction vector with an initial point of D(-4, -10) and a terminal point C(2, 4) .

Possible Answers:

<6, 14>

<6, -14>

<14, 6>

<-6, -14>

Correct answer:

<6, 14>

Explanation:

To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.

$\overrightarrow{DC}=<2-(-4), 4-(-10)>=<6, 14>$

Report an Error

Example Question #1 : Find A Direction Vector When Given Two Points

Find $\overrightarrow{PQ}$ if P=(4, 1) and Q=(-5, 2) .

Possible Answers:

<-9, 1>

<6, 6>

<1, -9>

<9, -1>

Correct answer:

<-9, 1>

Explanation:

To find the direction vector going from to , subtract the x and y-coordinates of from .

$\overrightarrow{PQ}=<-5-4, 2-1>= <-9, 1>$

Report an Error

Example Question #1 : Find A Direction Vector When Given Two Points

Find $\overrightarrow{MN}$ if N=(2, 2) and M=(-2, 1) .

Possible Answers:

<1, -4>

<-4, -1>

<4, -1>

<4,1>

Correct answer:

<4,1>

Explanation:

To find the direction vector from to , subtract the x- and y-coordinates of from .

$\overrightarrow{MN}=<2-(-2), 2-1>=<4, 1>$

Report an Error

Example Question #1 : Find A Direction Vector When Given Two Points

Find the direction vector that has an initial point at C(1,5) and a terminal point of D(0, 1) .

Possible Answers:

<-1, -4>

<1, 4>

<-4, -1>

<-4, 1>

Correct answer:

<-1, -4>

Explanation:

To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.

$\overrightarrow{CD}=<0-1, 1-5>=<-1, -4>$

Report an Error

Example Question #1 : Find A Direction Vector When Given Two Points

Find the direction vector that has an initial point at E(4, 1) and a terminal point at F(-5, -1) .

Possible Answers:

<-9, -2>

<9, 2>

<2, 9>

<-2, -9>

Correct answer:

<-9, -2>

Explanation:

To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.

$\overrightarrow{EF}=<-5-4, -1-1>=<-9, -2>$

Report an Error

Example Question #1 : Find A Direction Vector When Given Two Points

Find the direction vector with an initial point of R(-1, 4) and an terminal point of S(4, 9) .

Possible Answers:

<5,5>

<5, -5>

<-5, -5>

<-5, 5>

Correct answer:

<5,5>

Explanation:

To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.

$\overrightarrow{RS}=<4-(-1), 9-4>=<5, 5>$

Report an Error

Example Question #1 : Find A Direction Vector When Given Two Points

Find the direction vector that has an initial point at Z(1, 1) and a terminal point at A(4, 8) .

Possible Answers:

<7, 3>

<3, 7>

<-3, 7>

<-3, -7>

Correct answer:

<3, 7>

Explanation:

To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.

$\overrightarrow{ZA}=<4-1, 8-1>=<3, 7>$

Report an Error

View Pre-Calculus Tutors

Dejuan
Certified Tutor

University of Illinois at Urbana-Champaign, Bachelor of Science, Electrical Engineering.

View Pre-Calculus Tutors

Leonard
Certified Tutor

Florida State University, Bachelor of Science, Environmental Science.

View Pre-Calculus Tutors

Yucheng
Certified Tutor

The University of Texas at Austin, Bachelor of Science, Mechanical Engineering.

All Precalculus Resources

12 Diagnostic Tests 380 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

MCAT Tutors in Atlanta, SSAT Tutors in Philadelphia, Calculus Tutors in Los Angeles, SAT Tutors in Washington DC, French Tutors in New York City, ISEE Tutors in Boston, SAT Tutors in Los Angeles, SSAT Tutors in San Diego, Algebra Tutors in Phoenix, MCAT Tutors in Chicago

Popular Courses & Classes

SAT Courses & Classes in San Diego, Spanish Courses & Classes in San Diego, Spanish Courses & Classes in Seattle, LSAT Courses & Classes in Houston, SSAT Courses & Classes in New York City, MCAT Courses & Classes in Washington DC, Spanish Courses & Classes in Washington DC, ISEE Courses & Classes in Miami, SAT Courses & Classes in Houston, MCAT Courses & Classes in Dallas Fort Worth

Popular Test Prep

SAT Test Prep in Philadelphia, MCAT Test Prep in Houston, SAT Test Prep in Los Angeles, LSAT Test Prep in Denver, LSAT Test Prep in Phoenix, ISEE Test Prep in Philadelphia, SSAT Test Prep in Chicago, ACT Test Prep in Miami, LSAT Test Prep in Houston, MCAT Test Prep in Dallas Fort Worth

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

Precalculus : Find a Direction Vector When Given Two Points

Study concepts, example questions & explanations for Precalculus

All Precalculus Resources

Example Questions

Example Question #1 : Find A Direction Vector When Given Two Points

Example Question #1 : Find A Direction Vector When Given Two Points

Example Question #1 : Find A Direction Vector When Given Two Points

Example Question #1 : Find A Direction Vector When Given Two Points

Example Question #1 : Find A Direction Vector When Given Two Points

Example Question #1 : Find A Direction Vector When Given Two Points

Example Question #1 : Find A Direction Vector When Given Two Points

Example Question #1 : Find A Direction Vector When Given Two Points

Example Question #1 : Find A Direction Vector When Given Two Points

Example Question #1 : Find A Direction Vector When Given Two Points

All Precalculus Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: