Two unit vector when added give a unit vector . Then choose the correct statement.

Options

A. magnitude the their difference is `sqrt(3)`
B. Mignitude of their difference is 1
C. Angle between the vectors is `90^(@)`
D. Angle between the sum and the difference of the two vectors is `90^(@)`

Answer

D,A

Explanation

(d,a) Resultant vector `R=sqrt( A^(2)+B^(2)+2AB cos theta)`

`"we have "
` 1-sqrt(1+1+2 cos theta)`
therefore theta =120^(@)`
`S=sqrt(A^(2)+B^(2)-2ABcos theta)`
`=sqrt(1+1-2xx1xx1xx(-(1)/(2)))=sqrt(3)`