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)
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 !!