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## Homework Statement

Hello everyone, can anyone help me prove this using tensors?

Given three arbitrary vectors not on the same line,

**A, B, C**, any other vector

**D**can be expressed in terms of these as:

where [

**A, B, C**] is the scalar triple product

**A · (B × C)**

## Homework Equations

I know that scalar triple product

**A · (B × C)**in tensor notation is

and triple product can be written as:

## The Attempt at a Solution

I just tried to prove as normal, and after simplifying numerator of fractions with their repective denominator in tensor form, finally I arrived to D=3D !!

please help!

thanks