### All Common Core: High School - Number and Quantity Resources

## Example Questions

### Example Question #11 : Vector & Matrix Quantities

Vector , has an initial point of , and a terminal point of . What is the slope of vector ?

**Possible Answers:**

**Correct answer:**

In order to figure out slope, we need to remember how to find slope. Slope can be found be doing rise over run, or simply the change in coordinates over the change in coordinates. In equation form it looks like

, where are the coordinates, and are the coordinates.

For this example, we will let .

Below is a visual representation of what we just did. The orange arrow is .

### Example Question #12 : Vector & Matrix Quantities

Vector , has an initial point of , and a terminal point of . What is the slope of vector ?

**Possible Answers:**

**Correct answer:**

In order to figure out slope, we need to remember how to find slope. Slope can be found be doing rise over run, or simply the change in coordinates over the change in coordinates. In equation form it looks like

, where are the coordinates, and are the coordinates.

For this example, we will let .

Below is a visual representation of what we just did. The orange arrow is .

### Example Question #1 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

What are the components of a vector that has a terminal point of , and an initial point of ?

**Possible Answers:**

**Correct answer:**

In order to determine what the components of this vector has, we need to remember how to find components of a vector. It's simply the difference between the terminal point and initial point. The first step is to write an equation for what our "new" x and y are.

Now lets identify what these values are.

To write this in component form, we need to put our , and into .

So the final answer is

Below is a visual representation of what we just did.

The blue line is our original vector, and the red line is the same vector, but begins at the origin rather than at the initial point.

### Example Question #13 : Vector & Matrix Quantities

What are the components of a vector that has a terminal point of , and an initial point of ?

**Possible Answers:**

**Correct answer:**

n order to determine what the components of this vector has, we need to remember how to find components of a vector. It's simply the difference between the terminal point and initial point. The first step is to write an equation for what our "new" x and y are.

Now lets identify what these values are.

To write this in component form, we need to put our , and into .

So the final answer is

Below is a visual representation of what we just did.

### Example Question #111 : High School: Number And Quantity

What are the components of a vector that has a terminal point of , and an initial point of ?

**Possible Answers:**

**Correct answer:**

In order to determine what the components of this vector has, we need to remember how to find components of a vector. It's simply the difference between the terminal point and initial point. The first step is to write an equation for what our "new" x and y are.

Now lets identify what these values are.

To write this in component form, we need to put our , and into .

So the final answer is

Below is a visual representation of what we just did.

### Example Question #112 : High School: Number And Quantity

What are the components of a vector that has a terminal point of , and an initial point of ?

**Possible Answers:**

**Correct answer:**

In order to determine what the components of this vector has, we need to remember how to find components of a vector. It's simply the difference between the terminal point and initial point. The first step is to write an equation for what our "new" x and y are.

Now lets identify what these values are.

To write this in component form, we need to put our , and into .

So the final answer is

Below is a visual representation of what we just did.

### Example Question #113 : High School: Number And Quantity

What are the components of a vector that has a terminal point of , and an initial point of ?

**Possible Answers:**

**Correct answer:**

Now lets identify what these values are.

To write this in component form, we need to put our , and into .

So the final answer is

Below is a visual representation of what we just did.

### Example Question #114 : High School: Number And Quantity

What are the components of a vector that has a terminal point of , and an initial point of ?

**Possible Answers:**

**Correct answer:**

Now lets identify what these values are.

To write this in component form, we need to put our , and into .

So the final answer is

Below is a visual representation of what we just did.

### Example Question #3 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

What are the components of a vector that has a terminal point of , and an initial point of ?

**Possible Answers:**

**Correct answer:**

Now lets identify what these values are.

To write this in component form, we need to put our , and into .

So the final answer is

Below is a visual representation of what we just did.

### Example Question #4 : Vector Components: Ccss.Math.Content.Hsn Vm.A.2

What are the components of a vector that has a terminal point of , and an initial point of ?

**Possible Answers:**

**Correct answer:**

Now lets identify what these values are.

To write this in component form, we need to put our , and into .

So the final answer is

Below is a visual representation of what we just did.