I keep messing up on this for some reason!
Question is "decide if the lines l1 & l2 intersect or are skew or distinct..
Just to make sure..
Distinct means the parameter t is different for vectors x y and z ?
parellel means that 1 vector has to be a scalar multipal of the other
now skew means what??
saw I find that line 1 and line 2 are not parallel
example,
L1: x = 1+t
y = -2 + 3t
z = 4 - t
L2: x = 2t
y = 3 + t
z = -3 + 4t
they are not parallel. now..
what would setting the x = x y = y z = z tell me??
setting
1+t = 2t
-2 + 3t = 3 + t
4 - t = -3 + 4t
Ok, say I solve the matrix, w.e... I get a value of t.. what does that value mean?