# RESULTANT VECTOR FORMULA

The quantities that have both magnitude and direction are called vectors. If they are in opposite direction or same direction, then we can add and subtract directly. But they are in same direction, then we cannot directly add. For case like this, we use the formula that will square root of sum of squares of each vectors.

The formula of resultant vector is given as:

$\large \overrightarrow{R}=\sqrt{\overrightarrow{x^{2}}+\overrightarrow{y^{2}}}$

### Solved Examples

Question: Calculate the resultant vector if $\overrightarrow{x}=4$ and $\overrightarrow{y}= 7$.

Solution:

From the formula we could say that,

$\overrightarrow{R}=\sqrt{\overrightarrow{4^{2}}+\overrightarrow{5^{2}}}$

$\overrightarrow{R}=6.41\;cm$

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