We have 2 vectors: AC, BD. Then |AC| = a and |BD|=b (i want to make it easier)
and sum i'll call s , where s = AC + BD (we're adding vectors)
there is an equation:
s2 = a2 + b2 - 2ab cos x , where x is an angle between vectors a and b.
The sum has a maximum value when x = 0
and the minimum value when x=180*=pi (rad)
The possible range of the resultant of two vectors depends on their magnitudes and the angle between them. If the magnitudes of the two vectors are ( A ) and ( B ), the resultant vector can have a minimum value of ( |A - B| ) (when the vectors are in opposite directions) and a maximum value of ( A + B ) (when they are in the same direction). Thus, the resultant can range from ( |A - B| ) to ( A + B ).
Assuming you want non-zero vectors, two opposing vectors will give a resultant of zero.
The maximum resultant is when both vectors are in the same direction. In this case, you just add 4 and 5.
There is no minimum.
that's what she said
The possible range of the resultant of two vectors depends on their magnitudes and the angle between them. If the magnitudes of the two vectors are ( A ) and ( B ), the resultant vector can have a minimum value of ( |A - B| ) (when the vectors are in opposite directions) and a maximum value of ( A + B ) (when they are in the same direction). Thus, the resultant can range from ( |A - B| ) to ( A + B ).
The resultant vector has maximum magnitude if the vectors act in concert. That is, if the angle between them is 0 radians (or degrees). The magnitude of the resultant is the sum of the magnitudes of the vectors.For two vectors, the resultant is a minimum if the vectors act in opposition, that is the angle between them is pi radians (180 degrees). In this case the resultant has a magnitude that is equal to the difference between the two vectors' magnitudes, and it acts in the direction of the larger vector.At all other angles, the resultant vector has intermediate magnitudes.
Assuming you want non-zero vectors, two opposing vectors will give a resultant of zero.
The maximum resultant is when both vectors are in the same direction. In this case, you just add 4 and 5.
There is no minimum.
Zero degree
that's what she said
If all magnitudes are different, then minimum is three.
One.One.
It is not possible. The maximum magnitude is obtained when the vectors are aligned and in this case the resultant has a magnitude which is the sum of the individual vectors. In the given example, the maximum possible magnitude for the resultant is 16 units. In general |a+b| <= |a| + |b| where a, b are vectors and |a| is the magnitude of a
9
Two vectors are max when parallel and min when anti-parallel.