Solve the problem à = 2î – 3ĵ + 5k,b = -2î + 7j – kThree vectors are given by:č = aî + 2j – 4k.a) Find a, so that · [2č] = -4.andb) Calculate the angle between b and a position vector with coordinate(0, 0,-3).

We have been provided with three vectors so, we will solve them by breaking them into steps.

Three vectors are given by: d = 21 – 35 + 5k, B = -2î + 7 – k and č = aî + 2ĵ – 4k. a) Find a, 2 , so that - [2č] = -4. 8 b) Calculate the angle between b and a position vector with coordinate (0, 0,-3).

Three vectors are given by: d = 21 – 35 + 5k, B = -2î + 7 – k and č = aî + 2ĵ – 4k. a) Find a, 2 , so that - [2č] = -4. 8 b) Calculate the angle between b and a position vector with coordinate (0, 0,-3).

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 6.13P

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Question

Solve the problem

à = 2î – 3ĵ + 5k,
b = -2î + 7j – k
Three vectors are given by:
č = aî + 2j – 4k.
a) Find a, so that · [2č] = -4.
and
b) Calculate the angle between b and a position vector with coordinate
(0, 0,-3).

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