Represent Scalar Multiplication Graphically: CCSS.Math.Content.HSN-VM.B.5a

Help Questions

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

Questions 1 - 10
1

If , what is ?

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

2

If , what is ?

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

3

If , what is ?

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

4

If , what is ?

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

5

If , what is ?

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

6

If , what is ?

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

7

If , what is ?

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

8

If , what is ?

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

9

If , what is ?

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

10

If , what is ?

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 4.07.14 pm

Page 1 of 2