Mathematical Physics Vol 1

Chapter 4. Field theory

220

a) Is the system orthogonal if x = 3 u 1 + u 2 − u 3 , y = u 1 + 2 u 2 + 2 u 3 , z = 2 u 1 − u 2 − u 3 ? b) Find d s 2 and g for this system.

Solution

b) d s 2 = 14d u 2

2 2 + 6d u 1 d u 2 − 6d u 1 d u 3 + 8d u 2 d u 3 .

a)No.

1 + 6d u