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

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Example Question #1 : Compute Magnitude And Direction Of A Scalar Multiple: Ccss.Math.Content.Hsn Vm.B.5b

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 the same as .

, Direction is away from .

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.

Vecscale

Example Question #2 : Compute Magnitude And Direction Of A Scalar Multiple: Ccss.Math.Content.Hsn Vm.B.5b

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

Possible Answers:

, Direction is the same as .

, Direction is away from .

, Direction is away from .

, Direction is the same as .

, 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 

.Screen shot 2016 03 07 at 10.10.02 am

Example Question #3 : Compute Magnitude And Direction Of A Scalar Multiple: Ccss.Math.Content.Hsn Vm.B.5b

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 the same as .

, 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 10.16.42 am

Example Question #4 : Compute Magnitude And Direction Of A Scalar Multiple: Ccss.Math.Content.Hsn Vm.B.5b

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

Possible Answers:

, Direction is away from .

, Direction is the same as .

, Direction is the same as .

, Direction is away from .

, Direction is away from .

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 10.20.27 am

Example Question #5 : Compute Magnitude And Direction Of A Scalar Multiple: Ccss.Math.Content.Hsn Vm.B.5b

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

Possible Answers:

, Direction is away from .




 

, Direction is the same as .

, Direction is the same as .

, Direction is away from .

, Direction is away from .

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 10.32.32 am

Example Question #6 : Compute Magnitude And Direction Of A Scalar Multiple: Ccss.Math.Content.Hsn Vm.B.5b

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

Possible Answers:

, Direction is the same as .


, Direction is away from .

, Direction is away from .

, Direction is the same as .

, Direction is away from .




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 10.42.39 am

Example Question #7 : Compute Magnitude And Direction Of A Scalar Multiple: Ccss.Math.Content.Hsn Vm.B.5b

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

Possible Answers:

, Direction is away from .





, Direction is the same as .

, Direction is the same as .

, Direction is away from .

, Direction is away from .

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 in the same direction as the original vector .

See below for a picture.

 

Screen shot 2016 03 07 at 10.54.13 am

Example Question #8 : Compute Magnitude And Direction Of A Scalar Multiple: Ccss.Math.Content.Hsn Vm.B.5b

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 the same as .

, Direction is away from .

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 11.09.17 am

Example Question #9 : Compute Magnitude And Direction Of A Scalar Multiple: Ccss.Math.Content.Hsn Vm.B.5b

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

Possible Answers:



, Direction is away from .

, Direction is away from .



, Direction is away from .

, Direction is the same as .

, 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 11.45.20 am

Example Question #10 : Compute Magnitude And Direction Of A Scalar Multiple: Ccss.Math.Content.Hsn Vm.B.5b

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 the same as .

, Direction is away from .





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 11.53.48 am

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