Two vectors have a magnitude of 2.5km and 6.5km . Predict the maximum and minimum magnitude of their resultant vector
pull together = 2.5 + 6.5
one pulls north, the other south
6.5 - 2.5
(of course the sign might be - but it asked for magnitude, the absolute value)
To predict the maximum and minimum magnitude of the resultant vector, we can use the Triangle Inequality theorem. According to the theorem, the magnitude of the sum of two vectors will be maximum when the two vectors are in the same direction, and it will be minimum when the two vectors are in the opposite direction.
In this case, let's assume the two vectors have magnitudes of 2.5 km and 6.5 km. To find the maximum magnitude, we add the magnitudes together:
Maximum magnitude = 2.5 km + 6.5 km = 9 km
So, the maximum magnitude of the resultant vector is 9 km.
To find the minimum magnitude, we subtract the smaller magnitude from the larger magnitude:
Minimum magnitude = 6.5 km - 2.5 km = 4 km
Therefore, the minimum magnitude of the resultant vector is 4 km.