- #1
ManDay
- 159
- 1
The cross product equals to the area of the parallelogram defined by the two vectors (at least in R^3). So if working on vectors which units
v_1 = (1,2,3)m
v_2 = (3,4,5)m
it correctly returns the according area. However, if used to get a vector perpendicular to each of the vectors the resulting vectors has the unit m^2.
How does this fit together? Whats the term for the "dimension" of this vector anyway, since it's actual dimension is 3 (am I mistaken here?) as in the field of R^3.
Thanks for your help, PF
v_1 = (1,2,3)m
v_2 = (3,4,5)m
it correctly returns the according area. However, if used to get a vector perpendicular to each of the vectors the resulting vectors has the unit m^2.
How does this fit together? Whats the term for the "dimension" of this vector anyway, since it's actual dimension is 3 (am I mistaken here?) as in the field of R^3.
Thanks for your help, PF