- #1
ThomasMagnus
- 138
- 0
Hi,
I'm looking for some help on how the sum of a certain number of vectors can equal zero. I know that the sum of 2 vectors with equal magnitudes but opposite directions will equal zero; 2 vectors of unequal magnitude can never have a sum equal zero; and that three vectors of unequal magnitude can have a sum of zero if they form a closed triangle.
Three vectors of unequal magnitude can have a sum of zero if they form a closed triangle.
For this to be true, does the final vector have to point to the origin, or is it just a triangle anywhere?
What about four vectors? Can four vectors ever have a sum of zero if they have equal or unequal magnitude?
Here is a picture of a few vectors that I think have a sum of zero. Correct me if I am wrong.
Thanks =)
I'm looking for some help on how the sum of a certain number of vectors can equal zero. I know that the sum of 2 vectors with equal magnitudes but opposite directions will equal zero; 2 vectors of unequal magnitude can never have a sum equal zero; and that three vectors of unequal magnitude can have a sum of zero if they form a closed triangle.
Three vectors of unequal magnitude can have a sum of zero if they form a closed triangle.
For this to be true, does the final vector have to point to the origin, or is it just a triangle anywhere?
What about four vectors? Can four vectors ever have a sum of zero if they have equal or unequal magnitude?
Here is a picture of a few vectors that I think have a sum of zero. Correct me if I am wrong.
Thanks =)