I want to solve
P0 + t0 * V0 + t2 * V2 == P1 + t1 * V1
for t0, t1 and t2, which are scalars, whereas the uppercase variables are three-dimensional constants.
I tried
solve[{P_0_0 + t_0 * V_0_0 + t_2 * V_2_0 == P_1_0 + t_1 * V_1_0, P_0_1 + t_0 * V_0_1 + t_2 * V_2_1 == P_1_1 + t_1 * V_1_1, P_0_2 + t_0 * V_0_2 + t_2 * V_2_2 == P_1_2 + t_1 * V_1_2}, {t_0, t_1, t_2}]
but Wolfram alpha doesn't understand the query.
How can I solve this linear system of equations using Wolfram Alpha?