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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.

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Q: Can three vectors of equal magnitudes be added to give a vector of same magnitude and how?
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If a vector of magnitude 3 is added to a vector of magnitude 4 what can the magnitude of the resultant be?

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Can two vectors of unequal magnitude add up to give the zero vector?

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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.


What is the least number of non-zero vectors that can be added to give a resultant equal to zero?

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When two vectors are added and their magnitude is equal to the magnitude of resultan what will be angle in between them?

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