# What is the Cross Product of Two Vectors?

**Cross-product** is one of the** most common** tasks when it comes to vector **Mathematics **or **Physics**. It has great importance in different **professional** and practical fields. That’s why it is** important** to learn how to find the** cross-product of two vectors**.

If you don’t know, you should read this blog as we will discuss it here. When** two vectors are multiplied**, they can either give a scalar resultant or a vector resultant. In the **cross product**, when two vectors are multiplied, we will get a vector as the answer that has a specific direction.

The **cross product** between** two vectors **is represented by putting a symbol of** “x”**. It also involves the **angle** between the vectors to find the resultant. For **example**, the **cross product of perpendicular vectors **is maximum while the cross product of parallel vectors will be

## Method to find the cross product of two vectors

Finding the **cross product of two vectors** may not be difficult if you know the** formula**. Here in this section, we are going to show you the formula for this **product if you have two vectors**

= **AB sin𝜽 n**

Here in this formula, “𝜽” represents the angle between the vectors while **“n”** is the unit vector that gives the direction of the resultant vector. Using this **cross-product formula**, you can find the resultant of the multiplication of any two vectors.

If you are unable to understand the **formula** or have **complex values** to deal with, you should use an **online cross-product calculator** available in our **maths calculator.**

It will **help** you in getting the answer to the **multiplication** within seconds. The tool has been designed with a simple interface to let everyone understand and use it seamlessly.

## How to calculate the cross-product of two vectors?

To help you in **understanding** the **process**, we have also solved an example here. You should check it and try to understand the** process step by step**.

**Example 1:**

**Find** the **cross product of two vectors** having coordinates (2, 5, 8) and (3, 7, 9) while the **angle** between

**them **is **90 degrees**.

**Solution:**

We only have to multiply the** coordinates** of the** points/vertices** given in the question and find the solution for the **angle.**

Suppose, the vectors are named **"A"** and **"B"** So,

**A x B = (2 x 3)i - (5 x 7)j + (8 x 9)k**

Also,

**Sin 90 = 1**

So, the overall **answer** will become:

**A x B = 6i - 35j + 72k**

In this answer, **"i", "j",** and** "k"** represent the x-y-z coordinates of the** resultant vector**.

## Conclusion

By reading this blog, you have learned the way to find the **cross product of two vectors**. We have shared a** solved example **too for your better understanding. If you want to check more examples like this, you should use the** ****cross product of two vectors calculator** and put your concerned values. It will help you in understanding the **solution** deeply.

### FAQ

**1. What is a cross-product with an example?**

The** cross product of two vectors** is the vector product in which two vectors when multiplied give **another vector**.

**2. What is the rule of the cross-product?**

&For vector products, you only need to know the** coordinates **of the** vectors** and the **angle** between them.

**3. What are the properties of the cross-product?**

- The cross product of two vectors will always give
**another vector**. - T
**he vector product**of two**perpendicular vectors**is the**maximum**. - The cross product of
**two parallel vectors**is**“0”**.

**4. What is the difference between dot and cross product?**

When two vectors are **multiplied** and they give a **scalar quantity**, it will be** called** the dot product. On the other side, if two** vectors give another vector** when **multiplied**, it is called a **cross product**.

**5. Does the cross-product always result in a vector?**

Yes, the** cross-product** will always result in a vector.

**6. What is the cross product of the two vectors formula?**

The cross product of the** two vectors formula** is given below,

**A×B** sin𝜽 n