Can three or more vectors with unequal magnitudes be added together to have a sum of 0?

Question

please help! thanks!!

Answer 1

sure. just think of a 3-4-5 right triangle and make each side a vector.

Answer 2

yes why not,if by joining vectors by tail tip method we get an closed mash,then resultant =0.

Answer 3

Yes, it is possible.

Put start of second vector at tip of first.

Start of third at tip of second.

Tip of third at start of first.

Then the sum will be zero.

Example: Consider a triangle ABC.

Consider following three vectors.

First vector is AB with start at A and tip at B.

Second is BC with start at B and tip at C.

Third is CA with start at C and tip at A.

Their sum is zero.

Answer 4

Absolutely.

Think of a really really simple version, 3 vectors in the same direction (along the x axis).  

say they have magnitudes, <5,0,0>, <-2,0,0>, and<-3,0,0>.  Bingo!

There are an infinite number of ways to do this.