Let a,b and c be three non-zero vectors such that no two of them are collinear and (a×b)×c=31∣b∣∣c∣a. If θ is the angle between vectors b and c, then a value of sinθ is :
(A)
32
(B)
3−23
(C)
322
(D)
3−2
Answer:C
Let a,b and c be three unit vectors such that a×(b×c)=23(b+c). If b is not parallel to c, then the angle between a and b is: