Common Core: High School - Number and Quantity : Compute Magnitude and Direction of a Scalar Multiple: CCSS.Math.Content.HSN-VM.B.5b

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 #191 : High School: Number And Quantity

Calculate , where . Also determine the direction of the resulting vector.

Possible Answers:


, Direction is away from .

, Direction is away from .

, Direction is the same as .

, Direction is away from .

 



, Direction is the same as .

Correct answer:

, Direction is away from .

 

Explanation:

In order to solve the first part of the problem, we need to remember how to take the magnitude of a vector and scalar.

, where  is a scalar.

Now lets calculate this.

As for the direction of the vector, since , the resulting vector will be against the original vector .

See below for a picture.

Screen shot 2016 03 07 at 12.02.14 pm

Example Question #192 : High School: Number And Quantity

Calculate , where . Also determine the direction of the resulting vector.

Possible Answers:

, Direction is away from .





, Direction is the same as .

, Direction is away from .

, Direction is away from .

, Direction is the same as .

Correct answer:

, Direction is the same as .

Explanation:

In order to solve the first part of the problem, we need to remember how to take the magnitude of a vector and scalar.

, where  is a scalar.

Now lets calculate this.

As for the direction of the vector, since , the resulting vector will be in the same direction as the original vector .

See below for a picture.


Screen shot 2016 03 07 at 12.10.09 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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