Hello! Can anyone solve this problem? Thank you sincerely. I will rate high. Con

Question

Hello! Can anyone solve this problem? Thank you sincerely. I will rate high.

Consider an infinite population of unit vectors n pointing in all possible directions (with every direction equally likely). For each unit vector there is a tensor (this is just a special case of a dyad in which both vectors are the same). Averaging over all possible directions, we obtain the tensor = where the angle brackets represent the average. Show that (Hint: Because n has no preferred direction, must be isotropic.) Consider two fixed vectors a and b, which we will combine with in different ways. In each case the combination is then averaged overall possible directions: Using the result from (a), eliminate from each of these expressions.

Explanation / Answer

the solution is

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.