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What is the longest and the shortest that the sum of two unit vectors can be?
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If the sum of the two unit vectors is also a unit vector find the magnitude of their difference?
resultant
Can sum of two vectors be numeric?
No, the sum of two vectors cannot be a scalar.
What It's not possible to build a triangle with side lengths of 3 3 and 9.?
Because the sum of the shortest sides is less than the longest side and in order to construct a triangle the sum of its shortest sides must be greater than its longest side.
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.
If the sum of the two unit vectors is also a unit vector find the magnitude of their difference?
resultant
Can sum of two vectors be numeric?
No, the sum of two vectors cannot be a scalar.
What are the coplanar vectors in mathematics?
Vectors that sum to zero are coplanar and coplanar vectors sum to zero.
What It's not possible to build a triangle with side lengths of 3 3 and 9.?
Because the sum of the shortest sides is less than the longest side and in order to construct a triangle the sum of its shortest sides must be greater than its longest side.
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.
What is the sum of to vectors?
A variety of mathematical operations can be performed with and upon vectors. One such operation is the addition of vectors. Two vectors can be added together to determine the result (or resultant). This process of adding two or more vectors has already been discussed in an earlier unit. Recall in our discussion of Newton's laws of motion, that the net force experienced by an object was determined by computing the vector sum of all the individual forces acting upon that object. That is the net force was the result (or resultant) of adding up all the force vectors. During that unit, the rules for summing vectors (such as force vectors) were kept relatively simple. Observe the following summations of two force vectors:
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.
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.
Can the sum of two vectors be equal to either of the vectors explain?
Yes, if one of the vectors is the null vector.
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.
