Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: High School - Number and Quantity : Vector & Matrix Quantities

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 Magnitude And Direction: Ccss.Math.Content.Hsn Vm.A.1

Vector $\vec{w}$ , has an initial point of (-3, 5) , and a terminal point of (5,6) . What is the slope of vector $\vec{w}$ ?

Possible Answers:

$-\frac{1}{8}$

$\frac{1}{4}$

$\frac{1}{8}$

Correct answer:

$\frac{1}{8}$

Explanation:

In order to figure out slope, we need to remember how to find slope. Slope can be found be doing rise over run, or simply the change in coordinates over the change in coordinates. In equation form it looks like

$\mbox{Slope}=\frac{y_2-y_1}{x_2-x_1}$ , where y_2, y_1 are the coordinates, and x_2, x_1 are the coordinates.

For this example, we will let y_2=6, y_1=5, x_2=5, x_1=-3 .

$\mbox{Slope}=\frac{6-5}{5-(-3)}=\frac{1}{5+3}=\frac{1}{8}$

Below is a visual representation of what we just did. The orange arrow is $\vec{w}$ .

Vector

Report an Error

Example Question #2 : Vector Magnitude And Direction: Ccss.Math.Content.Hsn Vm.A.1

Vector $\vec{w}$ , has an initial point of (-6, 3) , and a terminal point of (2,6) . What is the slope of vector $\vec{w}$ ?

Possible Answers:

$\frac{8}{3}$

$\frac{3}{8}$

$-\frac{3}{8}$

Correct answer:

$\frac{3}{8}$

Explanation:

$\mbox{Slope}=\frac{y_2-y_1}{x_2-x_1}$ , where y_2, y_1 are the coordinates, and x_2, x_1 are the coordinates.

For this example, we will let y_2=6, y_1=3, x_2=2, x_1=-6 .

$\mbox{Slope}=\frac{6-3}{2-(-6)}=\frac{3}{2+6}=\frac{3}{8}$

Below is a visual representation of what we just did. The orange arrow is $\vec{w}$ .

Slope2

Report an Error

Example Question #1 : Vector & Matrix Quantities

Vector $\vec{w}$ , has an initial point of (2, 11) , and a terminal point of (-3,-7) . What is the slope of vector $\vec{w}$ ?

Possible Answers:

$\frac{18}{5}$

$\frac{5}{18}$

$-\frac{5}{18}$

$-\frac{18}{5}$

Correct answer:

$\frac{18}{5}$

Explanation:

$\mbox{Slope}=\frac{y_2-y_1}{x_2-x_1}$ , where y_2, y_1 are the coordinates, and x_2, x_1 are the coordinates.

For this example, we will let y_2=-7, y_1=11, x_2=-3, x_1=2 .

$\mbox{Slope}=\frac{-7-11}{-3-2}=\frac{-18}{-5}=\frac{18}{5}$

Below is a visual representation of what we just did. The orange arrow is $\vec{w}$ .

Slope3

Report an Error

Example Question #2 : Vector & Matrix Quantities

Vector $\vec{w}$ , has an initial point of (5, -3) , and a terminal point of (6,5) . What is the slope of vector $\vec{w}$ ?

Possible Answers:

$\frac{1}{8}$

$-\frac{1}{8}$

Correct answer:

Explanation:

$\mbox{Slope}=\frac{y_2-y_1}{x_2-x_1}$ , where y_2, y_1 are the coordinates, and x_2, x_1 are the coordinates.

For this example, we will let y_2=5, y_1=-3, x_2=6, x_1=5 .

$\mbox{Slope}=\frac{5-(-3)}{6-5}=\frac{5+3}{1}=\frac{8}{1}=8$

Below is a visual representation of what we just did. The orange arrow is $\vec{w}$ .

Slope4

Report an Error

Example Question #3 : Vector & Matrix Quantities

Vector $\vec{w}$ , has an initial point of (15, 6) , and a terminal point of (-7,1) . What is the slope of vector $\vec{w}$ ?

Possible Answers:

$\frac{5}{22}$

$-\frac{5}{22}$

$\frac{22}{5}$

Correct answer:

$\frac{5}{22}$

Explanation:

$\mbox{Slope}=\frac{y_2-y_1}{x_2-x_1}$ , where y_2, y_1 are the coordinates, and x_2, x_1 are the coordinates.

For this example, we will let y_2=1, y_1=6, x_2=-7, x_1=15 .

$\mbox{Slope}=\frac{1-6}{-7-15}=\frac{-5}{-22}=\frac{5}{22}$

Below is a visual representation of what we just did. The orange arrow is $\vec{w}$ .

Slope5

Report an Error

Example Question #5 : Vector Magnitude And Direction: Ccss.Math.Content.Hsn Vm.A.1

Vector $\vec{w}$ , has an initial point of (3, 2) , and a terminal point of (-3,5) . What is the slope of vector $\vec{w}$ ?

Possible Answers:

$-\frac{1}{2}$

$\frac{1}{2}$

Correct answer:

$-\frac{1}{2}$

Explanation:

$\mbox{Slope}=\frac{y_2-y_1}{x_2-x_1}$ , where y_2, y_1 are the coordinates, and x_2, x_1 are the coordinates.

For this example, we will let y_2=5, y_1=2, x_2=-3, x_1=3 .

$\mbox{Slope}=\frac{5-2}{-3-3}=\frac{3}{-6}=-\frac{1}{2}$

Below is a visual representation of what we just did. The orange arrow is $\vec{w}$ .

Slope6

Report an Error

Example Question #1 : Vector & Matrix Quantities

Vector $\vec{w}$ , has an initial point of (-3, -5) , and a terminal point of (-5,6) . What is the slope of vector $\vec{w}$ ?

Possible Answers:

$\frac{2}{11}$

$-\frac{2}{11}$

$\frac{11}{2}$

$-\frac{11}{2}$

Correct answer:

$-\frac{11}{2}$

Explanation:

$\mbox{Slope}=\frac{y_2-y_1}{x_2-x_1}$ , where y_2, y_1 are the coordinates, and x_2, x_1 are the coordinates.

For this example, we will let y_2=6, y_1=-5, x_2=-5, x_1=-3 .

$\mbox{Slope}=\frac{6-(-5)}{-5-(-3)}=\frac{6+5}{-5+3}=\frac{11}{-2}=-\frac{11}{2}$

Below is a visual representation of what we just did. The orange arrow is $\vec{w}$ .

Slope7

Report an Error

Example Question #2 : Vector & Matrix Quantities

Vector $\vec{w}$ , has an initial point of (-20, 15) , and a terminal point of (0,-8) . What is the slope of vector $\vec{w}$ ?

Possible Answers:

$\frac{20}{23}$

$-\frac{20}{23}$

$\frac{23}{20}$

$-\frac{23}{20}$

Correct answer:

$\frac{23}{20}$

Explanation:

$\mbox{Slope}=\frac{y_2-y_1}{x_2-x_1}$ , where y_2, y_1 are the coordinates, and x_2, x_1 are the coordinates.

For this example, we will let y_2=-8, y_1=15, x_2=0, x_1=-20 .

$\mbox{Slope}=\frac{15-(-8)}{0-(-20)}=\frac{15+8}{0+20}=\frac{23}{20}$

Below is a visual representation of what we just did. The orange arrow is $\vec{w}$ .

Slope8

Report an Error

Example Question #4 : Vector & Matrix Quantities

Vector $\vec{w}$ , has an initial point of (0, 2) , and a terminal point of (2,7) . What is the slope of vector $\vec{w}$ ?

Possible Answers:

$-\frac{2}{5}$

$\frac{2}{5}$

$\frac{5}{2}$

$-\frac{5}{2}$

Correct answer:

$\frac{5}{2}$

Explanation:

$\mbox{Slope}=\frac{y_2-y_1}{x_2-x_1}$ , where y_2, y_1 are the coordinates, and x_2, x_1 are the coordinates.

For this example, we will let y_2=7, y_1=2, x_2=2, x_1=0 .

$\mbox{Slope}=\frac{7-2}{2-0}=\frac{5}{2}$

Below is a visual representation of what we just did. The orange arrow is $\vec{w}$ .

Slope9

Report an Error

Example Question #4 : Vector & Matrix Quantities

Vector $\vec{w}$ , has an initial point of (2, -10) , and a terminal point of (8,-1) . What is the slope of vector $\vec{w}$ ?

Possible Answers:

$\frac{3}{2}$

$\frac{2}{3}$

$-\frac{3}{2}$

$-\frac{2}{3}$

Correct answer:

$\frac{3}{2}$

Explanation:

$\mbox{Slope}=\frac{y_2-y_1}{x_2-x_1}$ , where y_2, y_1 are the coordinates, and x_2, x_1 are the coordinates.

For this example, we will let y_2=-1, y_1=-10, x_2=8, x_1=2 .

$\mbox{Slope}=\frac{-1-(-10)}{8-2}=\frac{-1+10}{8-2}=\frac{9}{6}=\frac{3}{2}$

Below is a visual representation of what we just did. The orange arrow is $\vec{w}$ .

Slope10

Report an Error

View Tutors

Daniel (Kong Sang)
Certified Tutor

CUNY Brooklyn College, Master of Science, Geology.

View Tutors

Amanda
Certified Tutor

Saint Edward's University, Masters in Education, Applied Behavior Analysis.

View Tutors

Richard
Certified Tutor

CUNY Brooklyn College, Bachelor of Science, Chemistry. CUNY Brooklyn College, Master of Arts, Experimental Psychology.

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 Phoenix, Biology Tutors in Atlanta, ACT Tutors in Boston, Biology Tutors in Chicago, LSAT Tutors in Dallas Fort Worth, Spanish Tutors in Atlanta, GMAT Tutors in Boston, GRE Tutors in Dallas Fort Worth, GMAT Tutors in Los Angeles, GMAT Tutors in Miami

Popular Courses & Classes

MCAT Courses & Classes in Phoenix, ACT Courses & Classes in San Diego, Spanish Courses & Classes in Denver, SSAT Courses & Classes in Atlanta, MCAT Courses & Classes in New York City, SAT Courses & Classes in Atlanta, MCAT Courses & Classes in San Francisco-Bay Area, GMAT Courses & Classes in Miami, LSAT Courses & Classes in Seattle, SSAT Courses & Classes in Seattle

Popular Test Prep

ISEE Test Prep in Atlanta, GMAT Test Prep in Miami, LSAT Test Prep in Washington DC, MCAT Test Prep in Miami, ISEE Test Prep in Seattle, SAT Test Prep in San Diego, MCAT Test Prep in New York City, ACT Test Prep in Miami, LSAT Test Prep in Atlanta, SAT Test Prep in Phoenix

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 & Matrix Quantities

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 Magnitude And Direction: Ccss.Math.Content.Hsn Vm.A.1

Example Question #2 : Vector Magnitude And Direction: Ccss.Math.Content.Hsn Vm.A.1

Example Question #1 : Vector & Matrix Quantities

Example Question #2 : Vector & Matrix Quantities

Example Question #3 : Vector & Matrix Quantities

Example Question #5 : Vector Magnitude And Direction: Ccss.Math.Content.Hsn Vm.A.1

Example Question #1 : Vector & Matrix Quantities

Example Question #2 : Vector & Matrix Quantities

Example Question #4 : Vector & Matrix Quantities

Example Question #4 : Vector & Matrix Quantities

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: