A point A(a,b,c) lies on the sphere of radius 2, centered at the origin and B(p,q,r) lies on the sphere of radius 3, centered at the origin. Given ∠AOB=2sin−1√245, where O is the origin. If AQ is perpendicular to angle bisector of ∠AOB i.e. line OQD where D lies on AB, then the value of |QD| is

A point A(a,b,c) lies on the sphere of radius 2, centered at the origi

1.	A point A(a,b,c) lies on the sphere of radius 2, centered at the origin and B(p,q,r) lies on the sphere of radius 3, centered at the origin. Given ∠AOB=2sin−1√245, where O is the origin. If AQ is perpendicular to angle bisector of ∠AOB i.e. line OQD where D lies on AB, then the value of \|QD\| is
Answer» A point $A (a, b, c)$ lies on the sphere of radius $2$ , centered at the origin and $B (p, q, r)$ lies on the sphere of radius $3$ , centered at the origin. Given $∠ A O B = 2 {sin}^{- 1} \frac{\sqrt{24}}{5}$ , where $O$ is the origin. If $A Q$ is perpendicular to angle bisector of $∠ A O B$ i.e. line $O Q D$ where $D$ lies on $A B$ , then the value of $\| Q D \|$ is