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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 v1v2 equal to 200 units equal to 10 units equal to 20 units?
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∙ 10y ago
equal to zero
Wiki User
∙ 10y ago
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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.
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 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
What are different conditions that could make vector product zero?
First of all, you have to define what you mean by "vector product".-- The "dot product" is zero if the vectors are perpendicular, regardless of their magnitudes.-- The "cross product" is zero if the vectors are collinear or opposite, regardless of their magnitudes.-- Perhaps when you say "product", you mean the "result" of two vectors, whicha mathematician or physicist would cal their "sum".The sum of two vectors is zero if their magnitudes are equal and their directionsdiffer by 180 degrees.An infinite number of other possibilities exist for a sum of zero, depending on themagnitudes and directions of two vectors.
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.
Can two vectors counteract each other?
We're not sure what you have in mind when you say "counteract". But two vectors can certainly add up to zero, if their magnitudes are equal and their directions are different by exactly 180 degrees. In that case, they have the same effect as if they were both not there at all.
How should three vectors of equal magnitudes be arranged so that they are in equilibrium?
They should be arranged so that they point in a direction that is 120 degrees away from the other two so that they are all 120 degrees from each other.
Is it possible to add three vectors of equal magnitudes and get zero?
Of course it is! for example, [1, √3] + [-2, 0] + [1, - √3 ] = [0, 0]. Like this example, all other sets of such vectors will form an equilateral triangle on the graph.. Actually connecting the endpoints of the 3 vectors forms the equilateral triangle. The vectors are actually 120° apart.
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 ?
If two vector have equal magnitudes can their sum be zero Explain?
Sum of two vectors can only be zero if they are equal in magnitude and opposite in direction. So no two vector of unequal magnitude cannot be added to give null vector. Three vectors of equal magnitude and making an angle 120 degrees with each other gives a zero resultant.
