If A+B=0, what can you say about the components of the two vectors?

Question

If A+B=0, what can you say about the components of the two vectors?

Answer 1

The components must be equal and opposite, or zero.

For example, the sum of <-2, 5> and <2, -5> would be zero -- as would the sum of <0, 0> and <0, 0>.

Answer 2

All components cancel.

The component vector sum is zero.

example:

x-components: A<--------   -------->B  = zero

same for y-components