Three forces of magnitudes 6N, ON and `sqrt(72)` N act at a corner of a cube along three sides as shown in figure. Resultant of these forces is

Options

A. 12 N along OB
B. 18N along OA
C. 18N along OC
D. 12 N along OE

Answer

D

Explanation

The resultant of 6N along OC and N along ÓA is `R= sqrt(72)N` along OB The resultant of `sqrt(72)N` along OB and `sqrt(72)N` along OG is
`R.= sqrt(72+72)=12 N` along Oe