If you are looking for a vector formula in Excel, you have come to the right place. Here, we will walk you through **5 **easy examples of doing the task effortlessly.

**Table of Contents**Expand

## What Is Vector Quantity?

A quantity with both direction and magnitude is called a **Vector** quantity. For instance, ** Force**,

**,**

*Acceleration***, etc. are**

*Displacement***Vector**quantities. Vectors of the same type and dimension can be added or subtracted. A column vector and a row vector with the same dimension can be multiplied.

## How to Apply Vector Formula in Excel: 5 Suitable Examples

In the following dataset, you can see** Data A** and **Data B**. Both these data are vector data. Using this dataset, we will describe** 5** easy and effective examples of using **vector formulas in Excel.** Here, we use **Excel 365**. You can use any available Excel version.

### 1. Addition Formula to Sum up Two Vector Data

In this method, we will **add** vector data using a vector formula in Excel, and we will find the vector sum.

**Steps:**

- First, we will type the following formula in cell
**D5**.

`=B5:B10+C5:C10`

- At this point, since this is an
**ARRAY**formula press**CTRL+SHIFT+ENTER**if you do not have**Excel 365**. - However, if you are using
**Excel 365**, press**ENTER**. - Therefore, you can see the result in cells
**D5:D10**.

### 2. Subtraction Formula to Deduct One Vector Data from Another One

In this method, we will **subtract** vectors using a vector formula in Excel.

**Steps:**

- In the beginning, we will type the following formula in cell
**D5**.

`=B5:B10-C5:C10`

- Afterward, since this is an array formula press
**CTRL+SHIFT ENTER**if you do not have**Excel 365**. - However, if you are using
**Excel 365**, press**ENTER**. - Therefore, you can see the result in cells
**D5:D10**.

### 3. Vector Dot Formula for Two Sets of Vector Data

In this method, we will use the vector dot formula to find the multiplication of vectors.

#### 3.1. Generic Formula

Here, we will use the** A.B** formula to find the multiplication of vectors.

**Steps:**

- First of all, we will type the following formula in cell
**D5**.

`=C5*B5`

- After that, press
**ENTER**. - Therefore, you can see the result in cell
**D5**. - Furthermore, we will drag down the formula with the
**Fill Handle tool**.

- Therefore, you can see the complete
**A.B**column.

- Moreover, we will find out the som of this multiplication.
- To do so, we will type the following formula in cell
**D11**.

`=SUM(D5:D10)`

- Here,
**the SUM function**sums up a range of cells.

- Afterward, press
**ENTER**. - Hence, you can see the result in cell
**D11**.

#### 3.2. Applying SUM Function

In this method, we will use **the SUM function **for the vector formula in Excel to find out the multiplication of a range of cells.

**Steps:**

- To do so, in the first place, we will type the following formula in cell
**C12**.

`=SUM(B5:B10*C5:C10)`

- After that, since this is an array formula press
**CTRL+SHIFT+ENTER**if you do not have**Excel 365**. - However, if you are using
**Excel 365**, press**ENTER**. - Therefore, you can see the result in cells
**C5:C10**.

#### 3.3. Combining MMULT and TRANSPOSE Functions

In this method, we will use the combination of the **MMULT** and **TRANSPOSE** functions in the vector formula to find the multiplication of vectors.

**Steps:**

- In the beginning, we will type the following formula in cell
**C12**.

`=MMULT(TRANSPOSE(B5:B10),(C5:C10))`

**Formula Breakdown**

**The MMULT function**gives out the matrix product of two ranges of cells.**The TRANSPOSE function**modifies the orientation of a range of cells.**TRANSPOSE(B5:B10)â†’**becomes**Output: {3,5,7,9,11,13}**

**MMULT(TRANSPOSE(B5:B10),(C5:C10)****â†’**becomes**MMULT({3,5,7,9,11,13}),(C5:C10))Â****Output:Â 592**

- After that, press
**ENTER**. - Therefore, you can see the result in cell
**C12**.

### 4. Vector Cross Formula for Two Sets of Vector Data

In this method, we will use the **vector cross formula**Â to find the multiplication of two vectors.

In the following dataset, you can see we have the value of **IaI **(value of the first vector), **IbI **(value of the second vector), and the angle between them **Î¸** in degree.

Moreover, we have to convert the angle to **Radians**.

Furthermore, we will find the cross multiplication by using the formula **a x b=IaI IbI SinÎ¸**

**Steps:**

- In the beginning, to convert the
**Degree**in**Radians**, we will type the following formula in cell**C8**.

`=RADIANS(C7)`

- Here,
**the RADIANS function**converts the**degree**into**radians**.

- In addition, press
**ENTER**. - Therefore, you can see the result in cell
**C8**.

** **

- Moreover, to find out the
**SinÎ¸**, we will type the following formula in cell**C9**.

`=SIN(C8)`

**The SIN function**converts the**Radian**angle into the**sin**angle.

- After that
**,**press**ENTER**. - As a result, you can see the result in cell
**C9**.

- Now, it is time to find out the
.*cross-product* - Therefore, we type the following formula in cell
**C10**.

`=C5*C6*C9`

- At the moment, press
**ENTER**. - As a result, you can see the output in cell
**C10**.

### 5. Vector Formula to Find Two Components Using Magnitude and Reference Angle of This Vector

Here, in the following picture, you can see a figure where the magnitude of a vector is **10**, and the direction is **60Â°**. Furthermore, we will find **X** and** Y** of the figure.

We know, **X = 10 CosÎ¸**And

**Y=10 SinÎ¸**

Here, we have inserted the data of the figure in the dataset. Then, we will find out

**X**and

**Y**.

**Steps:**

- In the beginning, to convert the
**Degree**in**Radians**, we will type the following formula in cell**C7**.

`=RADIANS(C6)`

- Here,
**the RADIANS function**converts the degree into radians.

- In addition, press
**ENTER**. - Therefore, you can see the result in cell
**C8**.

- Next, to find the
**X**, we will type the following formula in cell**C8**.

`=C5*COS(C7)`

- Afterward, press
**ENTER**. - Therefore, you can see the result in cell
**C8**.

- Moreover, to find the
**Y**, we will type the following formula in cell**C9**.

`=C5*SIN(C7)`

- As a result, you can see the outcome in cell
**C9**. - Hence, we can use a vector formula to find out
**X**and**Y**.

## Practice Section

You can download the following Excel file and practice the explained methods.

**Download Practice Workbook**

You can download the Excel file and practice while reading this article.

**Conclusion**

Here, we show you** 5 **easy examples to use vector formula in Excel. Thank you for reading this article. We hope it was helpful. If you have any queries, please let us know in the comment section.

## Vector Formula in Excel: Knowledge Hub

- How to Calculate Vector Multiplication in Excel
- How to Calculate Eigenvectors in Excel
- How to Calculate Eigenvalues and Eigenvectors in Excel
- Plotting Vectors in Excel

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