17. Relative to reference frame 1, reference frame 2 moves with speed v in the negative x direction. When the origins of the two frames coincide the clocks in both frames are set to zero. An event occurs at coordinate x₁ and time t₁ as measured in reference frame 1 and at coordinate x₂ and time t₂ as measured in frame 2. If γ = 1/√(1 − v²/c²), then the coordinates and times of the event are related by:
(A) x₂ = γ[x₁ − vt₁] and t₂ = γ[t₁ − vx₁/c²]
(B) x₂ = γ[x₁ − vt₁] and t₂ = γ[t₁ + vx₁/c²]
(C) x₂ = γ[x₁ + vt₁] and t₂ = γ[t₁ − vx₁/c²]
(D) x₂ = γ[x₁ + vt₁] and t₂ = γ[t₁ + vx₁/c²]
(E) none of the above are correct