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No. The order of adding vectors does not affect the magnitude or direction. of the result.

Q: Does the order of adding vectors affects the magnitude and direction of the vectors?

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The general rule for adding vectors is to hook them together "head to tail" and then draw in a resultant vector. The resultant will have the magnitude and direction that represents the sum of the two vectors that were added.

The length of the arrows could represent either the magnitude or the direction of the vectors. If the length represents magnitude, longer arrows would represent larger magnitudes of the vectors. If the length represents direction, the arrows would be all the same length, but pointing in different directions to represent different vectors.

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No. The vector resultant of addition of vectors is the vector that would connect the tail of the first vector to the head of the last. For any set of vectors to add to the zero vector, the endpoint of the last vector added must be coincident with the start point of the first. Therefore for the sum of only two vectors to have a chance of being the zero vector, the second vector must be in a direction exactly opposite the first. So you can tell that the result of adding the two vectors could only can be zero vector if the two vectors were of two equal magnitude.

Only if the magnitude of all three vectors equals 0.Suppose three vectors (xi), (xj), (xz) are added. If the above statement is true then adding these three vectors should give a magnitude of x(x2 + x2 + x2)1/2 = xSquaring both sidesx2 + x2 + x2 = x22x2=0The above expression is only solvable for x = 0Hence the answer to the above equation is no, unless both vectors are the zero vector.

Related questions

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.

The sum of two vectors having the same direction is a new vector. It's magnitude is the sum of the magnitudes of the original two vectors, and its direction is the same as their common direction.

The general rule for adding vectors is to hook them together "head to tail" and then draw in a resultant vector. The resultant will have the magnitude and direction that represents the sum of the two vectors that were added.

The length of the arrows could represent either the magnitude or the direction of the vectors. If the length represents magnitude, longer arrows would represent larger magnitudes of the vectors. If the length represents direction, the arrows would be all the same length, but pointing in different directions to represent different vectors.

Numerical value and direction

The magnitude of the vector

Forces are vector quantities. This means they have both a magnitude and direction associated with them. If you add vectors going in the opposite directions it is the same as subtracting one from the other. Therefore, the resultant force is the difference between the forces.

Forces are vector quantities. This means they have both a magnitude and direction associated with them. If you add vectors going in the opposite directions it is the same as subtracting one from the other. Therefore, the resultant force is the difference between the forces.

adding vectorsTo add two vectors, s+z, simply move the vector z to the end of the vector s.subtracting vectorsTo find the magnitude and direction of the difference between two vectors, s-z, simply draw a vector from z to s

The direction after adding two equal and opposite vectors is the "Direction" of the two vectors. V=aDirection and Opposite V = OV = - aDirection. Adding the two gives, V + OV= (a-a)Direction = 0 Direction.

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Theortically, should be the same.