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Can the sum of the magnitudes of two vectors ever be equal to the magnitudes of the sum of these two vectors?
only if the vectors have the same direction
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.
What is the resultant of a group of vectors if drawing them tip to tail produces close figures?
The result is a zero vector. If the sum of the vectors forms a closed figure, the vectors sum to zero.
Two or more vectors combine to form an?
I believe the sum of two or more vectors is called a "Resultant."
Can the sum of of the magnitudes of two vectors ever be equal to the magnitudes of the sum of these two vectors?
No, they could be equal If the two vectors are opposites (180 degrees apart) like r and -r, then the sum of their magnitudes is the magnitude of their sum. ?? North 1 plus East 1 gives NorthEast 1.414. North 1 plus South 1 gives 0. North 1 plus North 1 gives North 2, which is equal to, not less than 1+1.
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.
Can sum of two vectors be numeric?
No, the sum of two vectors cannot be a scalar.
When Two vectors have unequal magnitude can their sum be zero explain reason?
No two vectors of unequal magnitude cannot give the sum 0 because for 0 sum the 2 vectors must be equal and in opposite direction
Can the sum of 2 vectors be 0 if they are of unequal magnitude?
It is impossible if the two vectors are of unequal magnitude.
What are the coplanar vectors in mathematics?
Vectors that sum to zero are coplanar and coplanar vectors sum to zero.
When adding two vectors at right angles is the resultant of the vectors the algebraic sum of the two vectors?
No. Vectors add at rightangle bythe pythagoran theorem: resultant sum = square root of (vector 1 squared + vector 2 squared)
Can the sum of the magnitudes of two vectors ever be equal to the magnitudes of the sum of these two vectors?
only if the vectors have the same direction
When is the sum of the magnitudes of two vectors equal to the magnitude of the sum of the vectors?
When the vectors are parallel, i.e. both have the same direction.
Can the sum of the magnitudes of two vectors ever b equal to the the sum of these two vectors?
Not really. The sum of the magnitudes is a scalar, not a vector - so they can't be equal. But the sum of the two vectors can have the same magnitude, if both vectors point in the same direction.
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.
How angle between vectors affects the resultant?
The Law of Cosines shows the affect of the angle between vectors. R^2 = (A+B)(A +B)*= (AA* + BB* + 2ABcos(AB)) If the angle is less than 90 degrees the resultant squared R^2 is greater than the sum of the vectors squared. If the angle is 90 degrees the resultant squared is the sum of the vectors squared. If the angle is greater than 90 degrees, the resultant squared is less than the Sum of the vectors squared.
Can the sum of two vectors be equal to either of the vectors explain?
Yes, if one of the vectors is the null vector.
