Vector calculus Question One(a) Let U = 3i - j - 4k and V = -2i+ 4j - 3k. Show that U. V is commutativebut U x V is not.(b) For any vectors A and B, prove thatV. (A x B) = B. (V x A) - A. (V x B)(c) Let F(x, y, z) = x³i+y³j+z³k. Compute the following:(i) V. F(ii) V X F(d) Give one example to illustrate that vectors satisfy the triangle inequality. Justifyyour answer.

As per the Bartleby guidelines only the first question has been solved. Kindly re-post the other…

Answered: (a) Let U = 3i - j - 4k and V = −2i +…

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(a) Let U = 3i - j - 4k and V = −2i + 4j - 3k. Show that U. V is commutative but U x V is not.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter6: Some Methods In The Calculus Of Variations

Section: Chapter Questions

Problem 6.17P

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