Scalar product using right hand rule ?

In summary, the author in the conversation suggested using scalar analysis (dot product) to determine the direction of moment, but the other person disagreed and stated that only cross product can determine the direction. The author then clarified that the solution is correct and that the direction of moment can be determined using the right hand grip rule.
  • #1
goldfish9776
310
1

Homework Statement


Refer to solution II , the author used the scalar analysis( dot product) to get the direction of moment ...IMO , this is incorrect ... Only cross product can be determined this way . correct me if I'm wrong .

Homework Equations

The Attempt at a Solution

 

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  • #2
No, the solution is correct. The value of a coupled moment is just equal to the magnitude of one of the forces times the perpendicular distance between them.
 
  • #3
axmls said:
No, the solution is correct. The value of a coupled moment is just equal to the magnitude of one of the forces times the perpendicular distance between them.
how can the direction of moment(scalar analysis) determined using the right hand grip rule ?
 

1. What is a scalar product?

The scalar product, also known as the dot product, is a mathematical operation that takes two vectors as inputs and produces a scalar quantity as an output. It is calculated by multiplying the magnitude of one vector by the projection of the other vector onto it.

2. How is the scalar product calculated using the right hand rule?

The scalar product can be calculated using the right hand rule by taking the cross product of two vectors and then taking the magnitude of the resulting vector. This method allows us to determine the angle between two vectors and the direction of the resulting scalar value.

3. What is the significance of using the right hand rule in scalar product calculations?

The right hand rule is used in scalar product calculations because it allows us to determine the direction of the resulting scalar value. This is important in understanding the relationship between two vectors and how they contribute to the overall magnitude of the scalar product.

4. Can the right hand rule be used to calculate scalar product in any coordinate system?

Yes, the right hand rule can be used to calculate scalar product in any coordinate system. It is a universal technique that can be applied to any set of vectors in three-dimensional space.

5. How is the right hand rule applied in real-world scenarios?

The right hand rule is often used in physics and engineering to determine the direction of forces and moments in three-dimensional space. It is also used in vector calculus to solve problems involving motion, velocity, and acceleration. In robotics, the right hand rule is used to determine the orientation of a robot's end-effector based on the position of its joints.

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