(a) A machine generates a force F= 4î+ 7ĵ – 5k causing an object to move from the point with coordinates (1, 2, 8) to the point (6, 3, 9), find the displacement vector i and the work done of the force by the machine. (b) Show that the following system of equations has non-trivial solution. (x + 2y + 3z = 0 9x + 8y + 7z = 0 (4x + 5y + 6z = 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 32E
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(a) A machine generates a force F= 4î+ 7ĵ – 5k causing an
object to move from the point with coordinates (1, 2, 8) to the
point (6, 3, 9), find the displacement vector i and the work
done of the force by the machine.
(b) Show that the following system of equations has non-trivial
solution.
(x + 2y + 3z = 0
9x + 8y + 7z = 0
(4x + 5y + 6z = 0
Transcribed Image Text:(a) A machine generates a force F= 4î+ 7ĵ – 5k causing an object to move from the point with coordinates (1, 2, 8) to the point (6, 3, 9), find the displacement vector i and the work done of the force by the machine. (b) Show that the following system of equations has non-trivial solution. (x + 2y + 3z = 0 9x + 8y + 7z = 0 (4x + 5y + 6z = 0
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