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

## Example Questions

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

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 .

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

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 .

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

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 .

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

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 .

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

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 .

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

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 .

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

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 .

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

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 .

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

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 .

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

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 .