Common Core: High School - Number and Quantity : Represent Scalar Multiplication Graphically: CCSS.Math.Content.HSN-VM.B.5a

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All Common Core: High School - Number and Quantity Resources

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Example Questions

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Example Question #1 : Represent Scalar Multiplication Graphically: Ccss.Math.Content.Hsn Vm.B.5a

If , what is ?

Possible Answers:

Correct answer:

Explanation:

Multiplying a vector by a scalar is as simple as multiplying the scalar by each vector component. In equation form it looks like this.

 

where  is the scalar.

In this case it is

 

The final answer is then .

There is a visual representation below.

The solid red arrow is , and the dashed blue line is .

Multscalar

Example Question #2 : Represent Scalar Multiplication Graphically: Ccss.Math.Content.Hsn Vm.B.5a

If , what is ?

Possible Answers:

Correct answer:

Explanation:

Multiplying a vector by a scalar is as simple as multiplying the scalar by each vector component. In equation form it looks like this.

 

where  is the scalar.

In this case it is

 

The final answer is then .

There is a visual representation below.

The solid red arrow is , and the dashed blue line is .

Screen shot 2016 03 07 at 1.19.53 pm

Example Question #3 : Represent Scalar Multiplication Graphically: Ccss.Math.Content.Hsn Vm.B.5a

If , what is ?

Possible Answers:

Correct answer:

Explanation:

Multiplying a vector by a scalar is as simple as multiplying the scalar by each vector component. In equation form it looks like this.

 

where  is the scalar.

In this case it is

 

The final answer is then .

There is a visual representation below.

The solid red arrow is , and the dashed blue line is .

Screen shot 2016 03 07 at 1.29.44 pm

Example Question #4 : Represent Scalar Multiplication Graphically: Ccss.Math.Content.Hsn Vm.B.5a

If , what is ?

Possible Answers:

Correct answer:

Explanation:

Multiplying a vector by a scalar is as simple as multiplying the scalar by each vector component. In equation form it looks like this.

 

where  is the scalar.

In this case it is

 

The final answer is then .

There is a visual representation below.

The solid red arrow is , and the dashed blue line is .

Screen shot 2016 03 07 at 2.51.12 pm

Example Question #5 : Represent Scalar Multiplication Graphically: Ccss.Math.Content.Hsn Vm.B.5a

If , what is ?

Possible Answers:

Correct answer:

Explanation:

Multiplying a vector by a scalar is as simple as multiplying the scalar by each vector component. In equation form it looks like this.

 

where  is the scalar.

In this case it is

 

The final answer is then .

There is a visual representation below.

The solid red arrow is , and the dashed blue line is .

Screen shot 2016 03 07 at 3.09.03 pm

Example Question #6 : Represent Scalar Multiplication Graphically: Ccss.Math.Content.Hsn Vm.B.5a

If , what is ?

Possible Answers:

Correct answer:

Explanation:

Multiplying a vector by a scalar is as simple as multiplying the scalar by each vector component. In equation form it looks like this.

 

where  is the scalar.

In this case it is

 

The final answer is then .

There is a visual representation below.

The solid red arrow is , and the dashed blue line is .

Screen shot 2016 03 07 at 3.16.13 pm

Example Question #7 : Represent Scalar Multiplication Graphically: Ccss.Math.Content.Hsn Vm.B.5a

If , what is ?

Possible Answers:

Correct answer:

Explanation:

Multiplying a vector by a scalar is as simple as multiplying the scalar by each vector component. In equation form it looks like this.

 

where  is the scalar.

In this case it is

 

The final answer is then .

There is a visual representation below.

The solid red arrow is , and the dashed blue line is .

Screen shot 2016 03 07 at 3.39.00 pm

Example Question #8 : Represent Scalar Multiplication Graphically: Ccss.Math.Content.Hsn Vm.B.5a

If , what is ?

Possible Answers:

Correct answer:

Explanation:

Multiplying a vector by a scalar is as simple as multiplying the scalar by each vector component. In equation form it looks like this.

 

where  is the scalar.

In this case it is

 

The final answer is then .

There is a visual representation below.

The solid red arrow is , and the dashed blue line is .

Screen shot 2016 03 07 at 3.43.53 pm

Example Question #9 : Represent Scalar Multiplication Graphically: Ccss.Math.Content.Hsn Vm.B.5a

If , what is ?

Possible Answers:

Correct answer:

Explanation:

Multiplying a vector by a scalar is as simple as multiplying the scalar by each vector component. In equation form it looks like this.

 

where  is the scalar.

In this case it is

 

The final answer is then .

There is a visual representation below.

The solid red arrow is , and the dashed blue line is .

Screen shot 2016 03 07 at 3.54.13 pm

Example Question #10 : Represent Scalar Multiplication Graphically: Ccss.Math.Content.Hsn Vm.B.5a

If , what is ?

Possible Answers:

Correct answer:

Explanation:

Multiplying a vector by a scalar is as simple as multiplying the scalar by each vector component. In equation form it looks like this.

 

where  is the scalar.

In this case it is

 

The final answer is then .

There is a visual representation below.

The solid red arrow is , and the dashed blue line is .

Screen shot 2016 03 07 at 3.59.16 pm

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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
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