Learning Materials
Features
Discover
Chapter 10: Q9 P (page 517)
F and E are polar vectors.
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
Do Problem (4.8) in tensor notation and compare the result with your solution of (4.8).
Following what we did in equations (2.14) to (2.17), show that the direct product of a vector and a -rank tensor is a -rank tensor. Also show that the direct product of two -rank tensors is a -rank tensor. Generalize this to show that the direct product of two tensors of ranks m and n is a tensor of rank m + n .
Using (10.15) show thatis a-rank covariant tensor. Hint:Write the transformationequation for each, and set the scalarto find the transformationequation for.
As we did in (3.3) , show that the contracted tensor is a first-rank tensor, that is, a vector.
What do you think about this solution?
We value your feedback to improve our textbook solutions.
Explanations 
Textbooks 
Exams 
GCSE 
IGCSE 
AS 
A Level 
International A Level 
University Admissions Tests 
Flashcards 
Vaia AI 
Notes 
Study Plans 
Study Sets 
Find a job 
Find a degree 
Student Deals 
Magazine 
Mobile App