Let ? be the reflection of a point ? with respect to the plane given by
`vecr = -(t +p) hati + thatj + (1+p) hatk`
where ?t, p? are real parameters and `hati , hatj , hatk` are the unit vectors along the three positive coordinate axes. If the position vectors of ?Q and S? are `10 hati + 15hatj + 20 hatk` and `alpha hati + betahatj + gamma hatk` respectively, then which of the followi ng is/are TRUE ?

Options

A. `3 (alpha + beta) = -101`
B. `3 (beta + gamma) = -71`
C. `3 (gamma + alpha) = -86`
D. `3 (alpha + beta + gamma) = -121`