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For three dimensional vectors A = Axî + Ayj + A₂k and B = B₂i+ Byj + B₂k, the scalar product written in terms of components will be A B = AxBx + AyBy + A₂Bz. This gives us two ways to calculate the scalar product (i) using the magnitude of the vectors and the angle between the vectors and (ii) using the components of the vectors. We choose whichever method is easier for the particular problem. (2) The combined force of lift and thrust on a model airplane is a constant F= (41+3j + 6k) N. a. How much work is done by the force F if the displacement of the airplane is: A = (62-5ĵ-3k) m? b. Will this force cause the airplane to speed up, slow down or maintain a constant speed?

For three dimensional vectors A = Axî + Ayj + A₂k and B = B₂i+ Byj + B₂k, the scalar product written in terms of components will be A B = AxBx + AyBy + A₂Bz. This gives us two ways to calculate the scalar product (i) using the magnitude of the vectors and the angle between the vectors and (ii) using the components of the vectors. We choose whichever method is easier for the particular problem. (2) The combined force of lift and thrust on a model airplane is a constant F= (41+3j + 6k) N. a. How much work is done by the force F if the displacement of the airplane is: A = (62-5ĵ-3k) m? b. Will this force cause the airplane to speed up, slow down or maintain a constant speed?

College Physics
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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For three dimensional vectors A = Axî + Ayj + A₂k and B=Bxi+ Byĵ+ B₂k, the scalar product written in terms of components will be A B = AxBx + AyBy + A₂Bz. This gives us two ways to calculate the scalar product (i) using the magnitude of the vectors and the angle between the vectors and (ii) using the components of the vectors. We choose whichever method is easier for the particular problem. (2) The combined force of lift and thrust on a model airplane is a constant F = (41 +3j + 6k) N. a. How much work is done by the force F if the displacement of the airplane is: A = (6î - 5ĵ- 3k) m? b. Will this force cause the airplane to speed up, slow down or maintain a constant speed?
Transcribed Image Text:For three dimensional vectors A = Axî + Ayj + A₂k and B=Bxi+ Byĵ+ B₂k, the scalar product written in terms of components will be A B = AxBx + AyBy + A₂Bz. This gives us two ways to calculate the scalar product (i) using the magnitude of the vectors and the angle between the vectors and (ii) using the components of the vectors. We choose whichever method is easier for the particular problem. (2) The combined force of lift and thrust on a model airplane is a constant F = (41 +3j + 6k) N. a. How much work is done by the force F if the displacement of the airplane is: A = (6î - 5ĵ- 3k) m? b. Will this force cause the airplane to speed up, slow down or maintain a constant speed?
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