- #1
autodidude
- 333
- 0
What is the geometrical significance of the definite integral of a vector function if any?
e.g. if you integrate a vector function that gives the velocity of some particle between t1 and t2, the vector we get indicates the distance traveled in the i, j and k directions right? does the direction of this vector have any meaning? Also, is there a geometric interpretation of this value like area under the curve for the definite integral of a scalar function?
e.g. if you integrate a vector function that gives the velocity of some particle between t1 and t2, the vector we get indicates the distance traveled in the i, j and k directions right? does the direction of this vector have any meaning? Also, is there a geometric interpretation of this value like area under the curve for the definite integral of a scalar function?