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Quaternions EXERCISE 8.36. Verify (36), (37), and (38). (35) We then have (36) v*v = ||v||² = a² + b² + c²+d². We must b
Posted: Thu Jul 07, 2022 2:20 pm
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- Quaternions Exercise 8 36 Verify 36 37 And 38 35 We Then Have 36 V V V A B C D We Must B 1 (54.47 KiB) Viewed 82 times
Quaternions EXERCISE 8.36. Verify (36), (37), and (38). (35) We then have (36) v*v = ||v||² = a² + b² + c²+d². We must be careful about the order of multiplication. One checks that (37) (a1 + bi + cj + dk)* = a1 − bi − cj – dk. (vw)* = w*v*. Suppose that v0. Then v has a parallel with C is striking. Furthermore we even have ||vw||² = ||v||²||w|| ². (38) iplicative erse, namely. The