Question

What would be the equation of these 5 vectors?

Answer 1

\[\color{green}{\vec{A} + \vec{B} + \vec{C} + \vec{D} + \vec{E} = 0}\]

Answer 2

@ghuczek the problem asks for it in the form A=B+C
and it must start with A. besides, don't you have to take into account the direction the arrows are facing rather than just adding them all together?

Answer 3

They are vectors, so you must take both the magnitudes and directions into account. Given the additional information you just provided, you can write the equation as:\[\color{green}{\vec{A} = -(\vec{B} + \vec{C} + \vec{D} + \vec{E})}\]

Answer 4

I'm still a bit confused. I thought if two vectors were going the opposite direction, then you subtract? For example, with B and D it would be B-D

Answer 5

\(\color{blue}{\vec{A} = \vec{C} - \vec{D} - \vec{B} + \vec{E}}\)

Answer 6

@Vincent-Lyon.Fr do you think you could explain how you got to that? o:

Answer 7

If you go along with the arrow, it's a + sign, if you go against, it's a - sign.

Answer 8

Okay thats what I thought. but like with C and D they are still pointing in the same direction. Is it because they are head to head rather than head to tail that you subtract them?

Answer 9

You have to take into account the arrow's direction as you follow the path you are taking.