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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.
What is the angle in degrees for 60 degrees of declination?
1. If V1 and V2 be two vectors at 900 from each other, having magnitudes of 10 and 20 units each, what will be the value of V1.V2 ?
How can you use the pythagorean theorem to add two vectors that are perpindicular to each other?
Construct the rectangle that contains the right angle subtended by the vectors. Calculate or construct the diagonal of the rectangle. The diagonal is the hypotenuse of a right triangle with the two vectors as sides. The hypotenuse is also the vector that is the sum of the two original vectors. Calculate the magnitude of that vector by applying the theorem.
How can you tell if two vectors are collinear?
If one vector is a multiple of the other vector than they are collinear).Let n equal any natural number (1, 2, 3, 4, ...) and vequal a vector with both amagnitudeand a direction.vn = nv (e.g., v3 = 3v)Vn will always be collinear to v, because it is just a multiple of v (the multiple being n)To verify if two vectors are collinear, if you can factor out a multiple, to return to theoriginalvector, than they are collinear.
What is equal to 428?
428 is equal to 428. No other number is equal to 428.
When are magnitudes of two vectors added?
The magnitudes of two vectors are added when the vectors are parallel to each other. In this case, the magnitude of the sum is equal to the sum of the magnitudes of the two vectors.
Which are those two vectors whose resultant vector is zero?
They are vectors of equal magnitudes in oppositedirections. When you add them, they cancel out each other.
Can two vectors having different magnitudes be combined to give a zero resultant.is it possible for three such vectors?
Yes, two vectors with different magnitudes can be combined to give a zero resultant if they are in opposite directions. However, it is not possible for three vectors with different magnitudes to give a zero resultant because they must have specific magnitudes and directions to cancel each other out completely.
What is the minimum possible magnitude of two vectors?
The minimum possible magnitude that results from the combintion of two vectors is zero. That's what happens when the two vectors have equal magnitudes and opposite directions.The maximum possible magnitude that results from the combintion of two vectors is the sum of the two individual magnitudes. That's what happens when the two vectors have the same direction.
Can two vectors of different magnitudes give a zero resultant?
Yes, two vectors of different magnitudes can give a zero resultant if they are in opposite directions and have magnitudes that cancel each other out when added together. This is known as vector subtraction.
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 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.
Is it possible for two vectors with different magnitudes to totally cancel each other?
no
Can resultant of 3 vectors be zero?
Sure. For one example, if their magnitudes are equal and their directions are spaced 120 degrees apart, then they add to zero. There are an infinite number of other sets of magnitudes and directions that add to zero, i.e. have a zero resultant.
Can the sum of three vectors of all of equal magnitudes be a zero?
Yes. Imagine the three sides of an equilateral triangle. That is, put each vector at 120 degrees of the other two.
What are different conditions that could make vector product zero?
The vector product (cross product) of two vectors will be zero when the vectors are parallel or antiparallel to each other. This means the vectors are either pointing in the same direction (parallel) or in opposite directions (antiparallel).
Adding vectors that act in the opposite direction?
When two vectors with different magnitudes and opposite directions are added :-- The magnitude of the sum is the difference in the magnitudes of the two vectors.-- The direction of the sum is the direction of the larger of the two vectors.
