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?
Correct, this follows from the triangle inequality. For two vectors x, and y, you have:
|x+y| <= |x| + |y|
Thank you!
7m 1m
To determine the magnitude of the resultant of two vectors, we need to use the triangle law or the parallelogram law of vector addition. According to the triangle law, the magnitude of the resultant vector is given by the sum of the magnitudes of the individual vectors if they are parallel or anti-parallel.
In this case, the two vectors have magnitudes of 4m and 3m, which means that the resultant vector can have a magnitude of either 7m (4m + 3m) or 1m (4m - 3m if they are anti-parallel). Therefore, the choice of 3m is correct, as it is not a possible magnitude for their resultant vector.
So, your choice of 12m is incorrect, as it is a possible magnitude for the resultant vector.