Under what conditions will 3 vectors having magnitudes of 7, 24 and 25, respectively, have the zero vector as a resultant?

I don't get this question at all.

1 answer

zero vector as a resultant means that you end up where you started.

So the vectors should form a triangle of lengths 7,24 and 25
I noticed that 7^2 + 24^2 = 25^2
so they will form a right-angled triangle with 25 the hypotenuse

you can find one of the other angles by arctan(24/7)
= appr 74 degrees, then the other angle is 16 degrees.

I don't know what else you would want to know.