The magnitudes of vectors OA→, OB→ and OC→ in figure (2-W3) are equal Find the direction of OA→+OB→-OC→ - Physics - Motion In A Plane

Question

The magnitudes of vectors O A → ,   O B →  
and   O C → in figure (2-W3) are equal Find the
direction of O A → + O B → - O C →

Shobhit Mittal · Accepted Answer

OA⇀=Acos30 i+Asin30 jOB→=Bcos60 i-Bsin60 jOC→=-Ccos45 i+Csin45 jA=B=COA⇀+OB⇀+OC⇀=Acos30 i+Asin30 j+Bcos60 i-Bsin60 j-Ccos45 i+Csin45 j=Acos30+cos60-cos45i+Asin30-sin60+sin45j=A32+12-12i+A12-32+12jlet the resulatne be at angle  alphatanα=12-32+1232+12-12=1+2-33+1-2α=tan-1+2-33+1-2Regards

The magnitudes of vectors O A → , O B → and O C → in figure (2-W3) are equal. Find the direction of O A → + O B → - O C → .

The magnitudes of vectors $\vec{O A}, \vec{O B} and \vec{O C}$ in figure (2-W3) are equal. Find the direction of $\vec{O A} + \vec{O B} - \vec{O C}$ .