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

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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 #2 : 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:

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 #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 15 at 10.39.47 am

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 15 at 10.52.08 am

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 , 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 #6 : 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 12.09.51 pm

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 , 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 #8 : 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

Example Question #9 : 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 1.16.38 pm

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 , 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 1.27.32 pm

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