# If two equal vector forces are mutually perpendicular, then the resultant force is acting at which angle as compared to one of the vectors.

Suppose

$\\x\hat{i}\ and\ y\hat{j}\text{ are two vectors then their resultant}=x\hat{i}+y\hat{j} \\\text{ and the direction of resultant}=tan^{-1}\frac{y}{x}$

Let  the vectors be

$\\x\hat{i}\ and\ x\hat{j}$

then

The direction of the resultant is

$tan^{-1}\frac{x}{x}=tan^{-1}1=45^o\ or\ \frac{\pi}{4}\ rad$

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