In this problem we are going to consider two different examples of the dot product between two vectors, a force F and a displacement Δr.  If the force vector has a magnitude of F = 14.5 N, the displacement has a length of Δr = 0.75 m, and the angle between the vectors is 45°, what will the dot product between the vector F and the vector Δr be? You can answer in joules (which is the same as newton-meters).   If the force vector has components Fx = 7.5 N and Fy = 13.8 N, and the displacement vector has components Δrx = 0.25 m and Δry = 0.63 m, what is the dot product between them? Again, enter your answer in joules.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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In this problem we are going to consider two different examples of the dot product between two vectors, a force F and a displacement Δr.

 If the force vector has a magnitude of F = 14.5 N, the displacement has a length of Δr = 0.75 m, and the angle between the vectors is 45°, what will the dot product between the vector F and the vector Δr be? You can answer in joules (which is the same as newton-meters). 

 If the force vector has components Fx = 7.5 N and Fy = 13.8 N, and the displacement vector has components Δrx = 0.25 m and Δry = 0.63 m, what is the dot product between them? Again, enter your answer in joules. 

 

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