Two vectors have magnitudes 4m and 3m. Which choice is not a possible magnitude for their resultant?

3m, 1m, 7m, 12m

I chose 12m. Is this correct?

3 answers

Correct, this follows from the triangle inequality. For two vectors x, and y, you have:

|x+y| <= |x| + |y|
Thank you!
7m 1m