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?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 59P: At one point in space, the direction of the electric field vector Is given In the Cartesian system...

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