Can two vectors having different magnitudes be combined to give a zero resultant? Can three vectors?

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Deepak Patra · Answer

No, two vectors with different magnitude can never give a zero resultant. This is because the effect of vectors cancels out only when they act in the opposite direction and have the same magnitude.
Yes, three vectors with different magnitude can give a zero resultant. As an example consider vectors $\tiny \overrightarrow{a} = 2\widehat{i} ,\widehat{b} , = 3\widehat{i}$ , and $\tiny \overrightarrow{c} = -5\widehat{i}$ , such that the resultant vector $\large \overrightarrow{a} + \overrightarrow{b} + \overrightarrow{c}$ is . $\tiny 2\widehat{i} + 3\widehat{i} - 5\widehat{i} = 0\widehat{i}$ .
Therefore the three vectors with different magnitude can give zero resultant.

nk · Answer

it is not possible to get zero resultant by combinig two vector having different magnitude.it is only possible if we combine two vectors of same magnitude in opposite direction.

Abid · Answer

it is only posible when two vector having same magnitude and opposite direction. yes three vectos can be zero by such conditions.

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Can two vectors having different magnitudes be combined to give a zero resultant? Can three vectors?

Can two vectors having different magnitudes be combined to give a zero resultant? Can three vectors?

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