Superposition principle? How to algebraically add up two equations?

[nchin]

Superposition principle? How to algebraically add up two equations??

How do you add up

(λ (√3)) / (4pi(ε naught)R) (√3/2 i hat - 1/2 j hat) + (λ (√3)) / (4pi(ε naught)R) (√3/2 i hat + 1/2 j hat)?

the 1/2 j hat cancels out right? but what do i do with everything else?

 

[rock.freak667]

You would add the components together.

So you'd add the i's together and then add the j's separately.

e.g. i+j + i-j = (1+1)i + (1-1)j