If the sum of two unit vectors is also a unit vector. Find the magnitude of their difference?

If the sum of two unit vectors is also a unit vector. Find the magnitu

1.	If the sum of two unit vectors is also a unit vector. Find the magnitude of their difference?
Answer» Solution :Let`HATA "and" HATB` are the given UNIT vectors and `hatR` is their RESULTANT then `\|hatR\|=\|hatA+hatB\|` `1=sqrt((hatA)^(2)+(hatB)^(2)+2\|hatA\|\|hatB\| COS theta), 1=1 +1+2 cos theta rArr cos theta =-1/2` `\|vecA-vecB\|=sqrt((hatA)^(2)+(hatB)^(2)-2\|hatA\|\|hatB\|cos theta)=sqrt(1+1-2xx1xx1(-1/2))=sqrt3`