Forces F_1 and F_2 act on a point mass in

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Forces ${F_1}$ and ${F_2}$ act on a point mass in two mutually perpendicular directions. The resultant force on the point mass will be

A

${F_1} + {F_2}$

B

${F_1} - {F_2}$

C

$\sqrt {F_1^2 + F_2^2} $

D

$F_1^2 + F_2^2$
Forces ${F_1}$ and ${F_2}$ act on a point mass in two mutually perpendicular directions. The resultant force on the point mass will be
$F = \sqrt {F_1^2 + F_2^2 + 2{F_1}{F_2}\cos 90^\circ } $$ = \sqrt {F_1^2 + F_2^2} $