Please solve the No.39 In Exercises 35-40, decide whether the given statement holds for all vectors and scalars. Ifso, justify your claim. If not, find a counterexample.35. c(u – T) = cư – cơ for all 3-vectors T and v and scalars c.36. c(u . T) = (c) · (cơ) for all 2-vectors u and o and scalars c.Section 1.1 Vectors1537. ||cu|| = c || T|| for all 3-vectors T and scalars c.38. u · (T + w)= w . T + ư · w for all 4-vectors u, v, and w.39. (u – 7) –- w = w - (T – w) for all 2-vectors u, T, and w.

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Answered: (T – 7) – w = T - (7 – W) for all…

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(T – 7) – w = T - (7 – W) for all 2-vectors ư, ơ, and w.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter1: Matrices, Vectors, And Vector Calculus

Section: Chapter Questions

Problem 1.16P: What surface is represented by r a = const, that is described if a is a vector of constant...

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Question

Please solve the No.39

In Exercises 35-40, decide whether the given statement holds for all vectors and scalars. If
so, justify your claim. If not, find a counterexample.
35. c(u – T) = cư – cơ for all 3-vectors T and v and scalars c.
36. c(u . T) = (c) · (cơ) for all 2-vectors u and o and scalars c.
Section 1.1 Vectors
15
37. ||cu|| = c || T|| for all 3-vectors T and scalars c.
38. u · (T + w)
= w . T + ư · w for all 4-vectors u, v, and w.
39. (u – 7) –- w = w - (T – w) for all 2-vectors u, T, and w.

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