Three Dimensional Geometry

Let S be the reflection of a point Q with respect to the plane given by

→

r

=−(t+p)

∧

i

+t

∧

j

+(1+p)

∧

k

where t,p are real parameters and

∧

i

,

∧

j

,

∧

k

are the unit vectors along the three positive coordinate axes. If the position vectors of Q and S are 10

∧

i

+15

∧

j

+20

∧

k

and α

∧

i

+β

∧

j

+γ

∧

k

respectively, then which of the following is/are TRUE ?