The sum and difference of two perpendicular vectors of equal length are

Given |A→|=|B→|  or  A=BSum  R→=A→+B→⇒|R→|=A2+B2=2A Difference S→=A→−B→⇒|S→|=A2+B2=2A         α1=45∘,α2=45∘ Hence, R→ and S→ will be perpendicular and also of equal lengths.