otherwise. It acts as the identity matrix in tensor notation. 3. Understanding Cartesian Tensors
A single value that stays the same no matter how you rotate your axes (e.g., temperature, mass). Vector Analysis and Cartesian Tensors
Using Cartesian Tensor notation simplifies complex vector identities: otherwise
To avoid writing long sums, we use the : if an index appears twice in a single term, it is automatically summed from 1 to 3. Dot Product: Written as AiBicap A sub i cap B sub i , which expanded is Kronecker Delta ( δijdelta sub i j end-sub ): A "switching" tensor that is Vector Analysis and Cartesian Tensors
A quantity with both magnitude and direction, often written as an ordered triplet 2. The Power of Index Notation