Question

Let v1 = 2i + j + 4k, and v2 = 4i − j + 5k be vectors,

and suppose the line L1 is given by

r1 = −8i + 2j − 9k + sv1, s is real,

and the line L2 is given by

r2 = 15i + 9j + 7k + tv2, t is real.

(a) Verify that L1 and L2 do not intersect.