answersLogoWhite

0


Best Answer

We can't answer that without also knowing

the magnitude of the individual vectors.

User Avatar

Wiki User

13y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the angle between the two vectors if their sum has a magnitude of 2F?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

When the angle between two vectors is equal to zero?

When the angle between two vectors is zero ... i.e. the vectors are parallel ... their sum is a vector in thesame direction, and with magnitude equal to the sum of the magnitudes of the two original vectors.


The sum of two vectors is a minimum when the angle between them is what?

180 degrees. Then the sum of the two vectors has a magnitude equal to the difference of their individual magnitudes.


Is the sum of two vectors of equal magnitude equal to the magnitude of either vectors AND their difference root 3 times the magnitude of each vector?

iff the angle between them is 120 degrees


What is the angle between two vectors if their sum is to be maximum?

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.


When is the vector sum equal in magnitude to the algebraic sum?

When the angle between any two component vectors is either zero or 180 degrees.


Sum of two vectors have the greatest magnitude when the angle is bigger or smaller?

smaller


Can the sum of magnitudes of two vectors ever be equal to the magnitude of the sum of these two vectors?

Sure, if the two vectors point in the same direction.When we need the sum of magnitudes of two vectors we simply add the magnitudes, but to get the magnitude of the sum of these two vectors we need to add the vectors geometrically.Formula to find magnitude of the sum of these two vectors is sqrt[ |A|2 +|B|2 +2*|A|*|B|*cos(z) ] where |A| and |B| are magnitudes of two A and B vectors, and z is the angle between the two vectors.Clearly, magnitude of sum of two vectors is less than sum of magnitudes(|A| + |B|) for all cases except when cos(z)=1(for which it becomes = |A| + |B| ). Cos(z)=1 when z=0, i.e. the vectors are in the same direction(angle between them is 0).Also if we consider addition of two null vectors then their sum is zero in both ways of addition.So, we get two caseswhen the two vectors are in same direction, andwhen the two vectors are null vectors.In all other cases sum of magnitudes is greater than magnitude of the sum of two vectors.


What should be the angle between two vectors of magnitudes 8 and 8 units so that their resultant has a magnitude of 20 units?

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


Can the magnitude of a vector be less than magnitudes both of components?

The magnitude of the sum of any two vectors can be anywhere between zero and the sum of their two magnitudes, depending on their magnitudes and the angle between them. When you say "components", you're simply describing a sum of two vectors that happen to be perpendicular to each other. In that case, the magnitude of their sum is Square root of [ (magnitude of one component)2 + (magnitude of the other component)2 ] It looks to me like that can't be less than the the magnitude of the greater component.


Is it possible for the magnitude of the some of two vectors to be larger than the sum of the magnitude of the vectors?

Assuming you mean sum and not some, the answer is No.


What is the angle between two vectors when their sum is maximum?

00


When two vectors A and B are drawn from the same point the angle between them is phi If A and B have the same magnitude which value of phi will their vector sum have the same magnitude as A or B?

120 degrees. Go mountaineers!