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 #5 : Add Vectors End To End, Component Wise, And By Parallelogram Rule: Ccss.Math.Content.Hsn Vm.B.4a

If , and , find 

Possible Answers:

Correct answer:

Explanation:

This problem is asking us to add vectors , and . To add vectors together, we need to sum up like components together. This means that we sum up the , and the 

So

 

Below is a visual representation of what we just did.

Screen shot 2016 03 14 at 4.12.36 pm

Example Question #2 : Add Vectors End To End, Component Wise, And By Parallelogram Rule: Ccss.Math.Content.Hsn Vm.B.4a

If , and , find 

Possible Answers:

Correct answer:

Explanation:

This problem is asking us to add vectors , and . To add vectors together, we need to sum up like components together. This means that we sum up the , and the 

So

 

Below is a visual representation of what we just did.

Screen shot 2016 03 15 at 8.33.39 am

Example Question #1 : Add Vectors End To End, Component Wise, And By Parallelogram Rule: Ccss.Math.Content.Hsn Vm.B.4a

If , and , find 

Possible Answers:

Correct answer:

Explanation:

This problem is asking us to add vectors , and . To add vectors together, we need to sum up like components together. This means that we sum up the , and the 

So

 

Below is a visual representation of what we just did.

Screen shot 2016 03 15 at 8.40.55 am

Example Question #7 : Add Vectors End To End, Component Wise, And By Parallelogram Rule: Ccss.Math.Content.Hsn Vm.B.4a

If , and , find 

Possible Answers:

Correct answer:

Explanation:

This problem is asking us to add vectors , and . To add vectors together, we need to sum up like components together. This means that we sum up the , and the 

So

 

Below is a visual representation of what we just did.

Screen shot 2016 03 15 at 8.47.19 am

Example Question #1 : Add Vectors End To End, Component Wise, And By Parallelogram Rule: Ccss.Math.Content.Hsn Vm.B.4a

If , and , find 

Possible Answers:

Correct answer:

Explanation:

This problem is asking us to add vectors , and . To add vectors together, we need to sum up like components together. This means that we sum up the , and the 

So

 

Below is a visual representation of what we just did.

Screen shot 2016 03 15 at 9.05.46 am

Example Question #43 : Vector & Matrix Quantities

If , and , find 

Possible Answers:

Correct answer:

Explanation:

This problem is asking us to add vectors , and . To add vectors together, we need to sum up like components together. This means that we sum up the , and the 

So

 

Below is a visual representation of what we just did.

Screen shot 2016 03 15 at 9.49.05 am

Example Question #141 : High School: Number And Quantity

If , and , find 

Possible Answers:

Correct answer:

Explanation:

This problem is asking us to add vectors , and . To add vectors together, we need to sum up like components together. This means that we sum up the , and the 

So

 

Below is a visual representation of what we just did.

Screen shot 2016 03 15 at 9.57.56 am

Example Question #142 : High School: Number And Quantity

If , and , find 

Possible Answers:

Correct answer:

Explanation:

This problem is asking us to add vectors , and . To add vectors together, we need to sum up like components together. This means that we sum up the , and the 

So

 

Below is a visual representation of what we just did.

Screen shot 2016 03 15 at 10.07.23 am

Example Question #144 : High School: Number And Quantity

If , and , and the angle in between them is , find the magnitude of the resultant vector. 

Possible Answers:

Correct answer:

Explanation:

In order to find the resultants magnitude, we need to use the law of cosines. The law of cosines is . Suppose that , and , then

 

Here is a visual representation of what we just found.

 

Locs

Example Question #145 : High School: Number And Quantity

If , and , and the angle in between them is , find the magnitude of the resultant vector.

Possible Answers:



 








Correct answer:



 

Explanation:

In order to find the resultants magnitude, we need to use the law of cosines. The law of cosines is . Suppose that , and , then

 

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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