Assuming we have vector A with elements (A_{1}, A_{2}, A_{3}) and vector B with elements (B_{1}, B_{2}, B_{3}), we can calculate the cross product of these two vectors as:

Cross Product = [(A_{2}*B_{3}) – (A_{3}*B_{2}), (A_{3}*B_{1}) – (A_{1}*B_{3}), (A_{1}*B_{2}) – (A_{2}*B_{1})]

For example, suppose we have the following vectors:

- Vector A: (1, 2, 3)
- Vector B: (4, 5, 6)

We could calculate the cross product of these vectors as:

- Cross Product = [(A
_{2}*B_{3}) – (A_{3}*B_{2}), (A_{3}*B_{1}) – (A_{1}*B_{3}), (A_{1}*B_{2}) – (A_{2}*B_{1})] - Cross Product = [(2*6) – (3*5), (3*4) – (1*6), (1*5) – (2*4)]
- Cross Product = (-3, 6, -3)

The following example shows how to calculate this exact cross product in Excel.

**Example: Calculating Cross Product in Excel**

To calculate the cross product between two vectors in Excel, we’ll first input the values for each vector:

Next, we’ll calculate the first value of the cross product:

Then we’ll calculate the second value:

Lastly, we’ll calculate the third value:

The cross product turns out to be (-3, 6, -3).

This matches the cross product that we calculated by hand earlier.

**Additional Resources**

How to Calculate the Dot Product in Excel

How to Calculate a Dot Product on a TI-84 Calculator