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

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

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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 #11 : Vector & Matrix Quantities

Vector , has an initial point of , and a terminal point of . What is the slope of vector ?

Possible Answers:

Correct answer:

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 

, where  are the  coordinates, and  are the  coordinates.

For this example, we will let .

 

Below is a visual representation of what we just did. The orange arrow is .

 

Slope11

Example Question #12 : Vector & Matrix Quantities

Vector , has an initial point of , and a terminal point of . What is the slope of vector ?

Possible Answers:

Correct answer:

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 

, where  are the  coordinates, and  are the  coordinates.

For this example, we will let .

 

Below is a visual representation of what we just did. The orange arrow is .

Slope12

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 , and an initial point of ?

Possible Answers:

Correct answer:

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. 

Now lets identify what these values are.

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

So the final answer is 

 

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. 

Example Question #13 : Vector & Matrix Quantities

What are the components of a vector that has a terminal point of , and an initial point of ?

Possible Answers:

Correct answer:

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. 

Now lets identify what these values are.

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

So the final answer is 

 

Below is a visual representation of what we just did.

Comp2

Example Question #111 : High School: Number And Quantity

What are the components of a vector that has a terminal point of  , and an initial point of ?

Possible Answers:

Correct answer:

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. 

Now lets identify what these values are.

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

So the final answer is 

 

Below is a visual representation of what we just did.

Screen shot 2016 03 15 at 10.39.47 am

Example Question #112 : High School: Number And Quantity

What are the components of a vector that has a terminal point of , and an initial point of ?

Possible Answers:

Correct answer:

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. 

Now lets identify what these values are.

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

So the final answer is 

 

Below is a visual representation of what we just did.

Screen shot 2016 03 15 at 10.52.08 am

Example Question #113 : High School: Number And Quantity

What are the components of a vector that has a terminal point of , and an initial point of ?

Possible Answers:

Correct answer:

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. 

Now lets identify what these values are.

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

So the final answer is 

 

Below is a visual representation of what we just did.

Screen shot 2016 03 15 at 12.32.48 pm

Example Question #114 : High School: Number And Quantity

What are the components of a vector that has a terminal point of , and an initial point of ?

Possible Answers:

Correct answer:

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. 

Now lets identify what these values are.

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

So the final answer is 

 

Below is a visual representation of what we just did.

Screen shot 2016 03 16 at 12.09.51 pm

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 , and an initial point of ?

Possible Answers:

Correct answer:

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. 

Now lets identify what these values are.

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

So the final answer is 

 

Below is a visual representation of what we just did.


Screen shot 2016 03 16 at 12.32.22 pm

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 , and an initial point of ?

Possible Answers:

Correct answer:

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. 

Now lets identify what these values are.

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

So the final answer is 

 

Below is a visual representation of what we just did.

Screen shot 2016 03 16 at 12.41.19 pm

All Common Core: High School - Number and Quantity Resources

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