Vector Triple Product-FAQs

What is Vector Triple Product?

Vector Triple Product is a mathematical operation involving three vectors. Specifically, it refers to the cross product of the cross product of two vectors, providing a new vector as the result.

How is the Vector Triple Product Expressed Mathematically?

Mathematically, the Vector Triple Product involving vectors A, B, and C is denoted as A×(B×C).

What is the Geometric Interpretation of Vector Triple Product?

Geometrically, the Vector Triple Product is associated with a parallelepiped, a six-faced figure formed by three vectors. The resulting vector represents the normal to the parallelepiped’s face.

What is the Formula for Triple Dot Product?

For three vectors a, b, and c the vector triple product is written [a, b, c] and is calculated as,

[a, b, c] = a×(b×c)

What is the Vector Triple Product Identity?

Vector btripple product identity is,

Vector Triple Product involves the multiplication of three vectors so that the output is also a vector. Vector Triple Product involves three vectors— , , and , by taking the cross product of with the cross product of and the result, denoted as , emerges as a new vector.

This article covers the definition, formula, proof, and properties of the Vector Triple Product, offering a comprehensive exploration of its fundamental aspects. Additionally, we will address common questions and provide solved examples to enhance your understanding of this mathematical concept.