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

Explanation

Let ` vecA and vecB ` are the given unit vectors and ` vecR ` is their resultant then ` | vecR| =| hatA + hatB|`
` 1= sqrt((hatA)^2+(hatB)^2 +2|hatA||hatB| cos theta ) , 1=1 +1 +2 cos theta implies cos theta =- 1/2 `
` | vecA - vecB| = sqrt((hatA)^2 + ( hatB)^2 -2 |hatA ||hatB| cos theta ) = sqrt(1+1-2 xx 1 xx1 (-1/2))= sqrt(3)`