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2pi/3 radian or equivalent 120 degree

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Q: When magnitude of vector a plus b is equal to the magnitude of vector a minus b then what is the angle between two vectors a and b?
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What is it when two vectors' dot product is one?

That fact alone doesn't tell you much about the original two vectors. It only says that (magnitude of vector-#1) times (magnitude of vector-#2) times (cosine of the angle between them) = 1. You still don't know the magnitude of either vector, or the angle between them.


What is the angle between two vectors of equal magnitude whose resultant is equal to the magnitude of either vector?

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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.


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Depends on the situation. Vector A x Vector B= 0 when the sine of the angle between them is 0 Vector A . Vector B= 0 when the cosine of the angle between them is 0 Vector A + Vector B= 0 when Vectors A and B have equal magnitude but opposite direction.


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.


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A vector of magnitude 3 cannot be added to a vector of magnitude 4 so the magnitude of the resultant is?

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How do you change the magnitude of the resultant vector between two if the angle between them decreases?

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