B AB cose, where 0 is the angle between the two vectors eometrically, the dot product can be understood as the multiplication of the parallel components of two vectors. Thus, when @-0, the vectors are parallel and the dot product is the largest. Work is equal to the magnitude of the force times the magnitude of the displacement, but only if the No are parallel. What do you do if force and displacement are not parallel? You can use the dot product of the two vectors to find out the product of the parallel components. Therefore, W F•d. uppose a student has to travel 28.5m from their bedroom to the laundry room. If the student drags their laundry bag across the floor such that the rope makes a 45 angle with respect to the floor and that a constant 122N force is applied. How much work is done by the applied force during nis motion?

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Chapter1: Units, Trigonometry. And Vectors
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Dot product of two vectors A and Bis represented as
A B AB cose, where 0 is the angle between the two vectors.
Geometrically, the dot product can be understood as the multiplication of the parallel components of two vectors. Thus, when 0 0, the vectors are parallel and the dot product is the largest. Work is equal to the magnitude of the force times the magnitude of the displacement, but only if the
two are parallel. What do you do if force and displacement are not parallel? You can use the dot product of the two vectors to find out the product of the parallel components. Therefore, W = F•d.
%3D
Suppose a student has to travel 28.5m from their bedroom to the laundry room. If the student drags their laundry bag across the floor such that the rope makes a 45 angle with respect to the floor and that a constant 122N force is applied. How much work is done by the applied force during
this motion?
Transcribed Image Text:Dot product of two vectors A and Bis represented as A B AB cose, where 0 is the angle between the two vectors. Geometrically, the dot product can be understood as the multiplication of the parallel components of two vectors. Thus, when 0 0, the vectors are parallel and the dot product is the largest. Work is equal to the magnitude of the force times the magnitude of the displacement, but only if the two are parallel. What do you do if force and displacement are not parallel? You can use the dot product of the two vectors to find out the product of the parallel components. Therefore, W = F•d. %3D Suppose a student has to travel 28.5m from their bedroom to the laundry room. If the student drags their laundry bag across the floor such that the rope makes a 45 angle with respect to the floor and that a constant 122N force is applied. How much work is done by the applied force during this motion?
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