If |A|=2 and |B| = 4, then match the relation in Column I with the angle `theta` between A and B in Column II.

Explanation

Given |A| = and |B| =4
(a) `A.B=ABcostheta=0 " "rArr" "2xx4costheta=0`
`rArr " " costheta =0=cos90^(@) " " rArr" "theta=90^(@)`
`:.` Option (a) matches with option (ii).
(b) `A.B=AB cos theta = 8 " " rArr" " 2xx4 cos theta =8`
`rArr " " cos theta =1 =cos 0^(@) rArr " " theta=0^(@)`
`:.`Option (b) matches with option (i).
(c)` A.B = AB cos theta =4 " " rArr " " 2xx4 cos theta =4`
`rArr cos theta =(1)/(2) = cos 60^(@) " " rArr" " theta = 60^(@)`
`:.` Option (c) matches with option (iv).(d) `A.B=ABcos theta =-8 " " rArr " " 2xx4costheta=-8`
`rArr " " cos theta =-1=cos=-1 = cos 180^(@) rArr " " theta = 180^(@)`
`:.` Option (d) matches with option (iii)