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

## Example Questions

### Example Question #5 : Add Vectors End To End, Component Wise, And By Parallelogram Rule: Ccss.Math.Content.Hsn Vm.B.4a

If , and , find .

**Possible Answers:**

**Correct answer:**

This problem is asking us to add vectors , and . To add vectors together, we need to sum up like components together. This means that we sum up the , and the .

So

Below is a visual representation of what we just did.

### Example Question #2 : Add Vectors End To End, Component Wise, And By Parallelogram Rule: Ccss.Math.Content.Hsn Vm.B.4a

If , and , find .

**Possible Answers:**

**Correct answer:**

This problem is asking us to add vectors , and . To add vectors together, we need to sum up like components together. This means that we sum up the , and the .

So

Below is a visual representation of what we just did.

### Example Question #1 : Add Vectors End To End, Component Wise, And By Parallelogram Rule: Ccss.Math.Content.Hsn Vm.B.4a

If , and , find .

**Possible Answers:**

**Correct answer:**

This problem is asking us to add vectors , and . To add vectors together, we need to sum up like components together. This means that we sum up the , and the .

So

Below is a visual representation of what we just did.

### Example Question #7 : Add Vectors End To End, Component Wise, And By Parallelogram Rule: Ccss.Math.Content.Hsn Vm.B.4a

If , and , find .

**Possible Answers:**

**Correct answer:**

So

Below is a visual representation of what we just did.

### Example Question #1 : Add Vectors End To End, Component Wise, And By Parallelogram Rule: Ccss.Math.Content.Hsn Vm.B.4a

If , and , find .

**Possible Answers:**

**Correct answer:**

So

Below is a visual representation of what we just did.

### Example Question #43 : Vector & Matrix Quantities

If , and , find .

**Possible Answers:**

**Correct answer:**

So

Below is a visual representation of what we just did.

### Example Question #141 : High School: Number And Quantity

If , and , find .

**Possible Answers:**

**Correct answer:**

So

Below is a visual representation of what we just did.

### Example Question #142 : High School: Number And Quantity

If , and , find .

**Possible Answers:**

**Correct answer:**

So

Below is a visual representation of what we just did.

### Example Question #144 : High School: Number And Quantity

If , and , and the angle in between them is , find the magnitude of the resultant vector.

**Possible Answers:**

**Correct answer:**

In order to find the resultants magnitude, we need to use the law of cosines. The law of cosines is . Suppose that , , and , then

Here is a visual representation of what we just found.

### Example Question #145 : High School: Number And Quantity

If , and , and the angle in between them is , find the magnitude of the resultant vector.

**Possible Answers:**

**Correct answer:**

In order to find the resultants magnitude, we need to use the law of cosines. The law of cosines is . Suppose that , , and , then

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