# critical thinking trig problem

• Jan 6th 2007, 12:25 PM
sinewave85
critical thinking trig problem
"There are two and only two vectors acting on a point. The system is in equilibrium. Must the vectors be opposites?" Or, in other words, is the only pair of vectors that can produce equilibrium a pair of opposites?

Thinking about it in terms of geometric addition, it seems like the answer must be yes, but I was hoping someone could verify it for me one way or the other. Thanks.
• Jan 6th 2007, 12:41 PM
CaptainBlack
Quote:

Originally Posted by sinewave85
"There are two and only two vectors acting on a point. The system is in equilibrium. Must the vectors be opposites?" Or, in other words, is the only pair of vectors that can produce equilibrium a pair of opposites?

Thinking about it in terms of geometric addition, it seems like the answer must be yes, but I was hoping someone could verify it for me one way or the other. Thanks.

I would of thought so.

RonL
• Jan 6th 2007, 12:54 PM
topsquark
Thinking about it analytically you have two vectors a and b. They add to 0. What is b in terms of a?

-Dan