Division of Vector: Learn How to Perform A/B Expression

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Vector division is not well defined due to the lack of a multiplicative inverse for vectors, which is essential for division. While scalar multiplication allows for division, vector operations such as the dot and cross products do not yield a vector result that can be divided. The discussion highlights that component-wise multiplication can be defined, but it lacks the geometric significance of other vector operations. Geometric algebra introduces a well-defined vector division in R^3, but traditional vector algebra does not support this concept. Overall, the complexity of defining vector division stems from the need to maintain useful mathematical properties while remaining within the confines of vector algebra.
  • #31
kishanachanta said:
ok.In physics we have famous formula given by Isssac Newton as F=ma where F(force) and a(accelerartion) are two vectors..if we wish to find out the value for the mass how can we divide these two vectors... means the resultant for divison of two vectors is a scalar.. i am confused...
No, you got the magnitude of the vectors, that's why you get a scalar.

Regards.
 
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  • #32
A simple way I haven't tested yet is to try to make the problem like long division.

Remember that long division implies some multiplication,

and dialectical guesswork. Good luck :)!
 

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