Best Answer

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 = x

Squaring both sides

x2 + x2 + x2 = x2

2x2=0

The above expression is only solvable for x = 0

Hence the answer to the above equation is no, unless both vectors are the zero vector.

Q: Can three vectors of equal magnitudes be added to give a vector of same magnitude and how?

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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.

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.

Vectors are represented by arrows. They represent something that has magnitude, expressed by the length of the arrow, and direction shown by the direction the arrow head points away from the reference system. Vector addition is really quite simple. Make sure all vectors of interest use the same units of magnitude. Pick a vector and place the tail of the arrow on the intersection of the reference system. Do not change it's direction or magnitude. Take the next vector you wish to add and place the tail at the tip of the arrow of the first vector. Again, do not change either direction or magnitude. Do this with all vectors you wish to add. Remember, NEVER CHANGE MAGNITUDE OR DIRECTION. When you draw a new vector from the origin of the reference to the tip of the last vector in the chain of vectors being added, the new vector is the sum of all the vectors in the chain.

Two - if you add two vectors of equal magnitude but in opposite directions, the resultant vector is zero.

Related questions

The magnitudes of two vectors are added when calculating the resultant magnitude of their vector sum. This can be done using the Pythagorean theorem, where the magnitude of the resultant vector is the square root of the sum of the squares of the magnitudes of the individual vectors.

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1. When the two vectors are parlell the magnitude of resultant vector R=A+B. 2. When the two vectors are having equal magnitude and they are antiparlell then R=A-A=0. For more information: thrinath_dadi@yahoo.com

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.

The angle between two vectors whose magnitudes add up to be equal to the magnitude of the resultant vector will be 120 degrees. This is known as the "120-degree rule" when adding two vectors of equal magnitude to get a resultant of equal magnitude.

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Vector addition is the operation that gives a resultant vector when two or more vectors are added together. The resultant vector represents the combination of the individual vectors' magnitudes and directions.

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