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# Cross Product of Three Vectors Calculator Online Calculator Online

The Cross Product of Three Vectors Calculator is a handy tool that allows users to compute the vector triple product of three given vectors. This calculation involves the manipulation of vectors A, B, and C, as denoted by the formula: A × (B × C). By inputting the values of these vectors into the calculator, users can quickly determine the resulting vector.

## Formula of Cross Product of Three Vectors Calculator

The vector triple product of vectors A, B, and C, denoted by A × (B × C), can be calculated using the following formula:

Here, A ⋅ B represents the dot product of vectors A and B. This formula essentially multiplies vector B by the scalar quantity (A ⋅ C) and subtracts the result of multiplying vector C by the scalar quantity (A ⋅ B). The final output is a new vector.

## Example of Cross Product of Three Vectors Calculator

Let’s consider an example to better understand how the Cross Product of Three Vectors Calculator works:

Suppose we have three vectors:

• Vector A = [3, 1, 2]
• Vector B = [2, 4, 6]
• Vector C = [1, 2, 3]

By applying these values to the calculator, we can compute the cross product of the three vectors.

## Most Common FAQs

Q: What is a vector?

A: A vector is a mathematical quantity that has both magnitude and direction. In essence, it represents a displacement or change in position.

Q: What is the dot product of vectors?

A: The dot product of two vectors is the result of multiplying the corresponding entries of the vectors and then summing them up. It yields a scalar quantity.

Q: How does the Cross Product of Three Vectors Calculator work?