Question: Can you help me with step by step instruction so that I can learn and understand how to do this: I need to work with
Can you help me with step by step instruction so that I can learn and understand how to do this:
I need to work with the following two pairs of lines by vector parametric equations. One of the pairs
of lines is parallel; the other is skew (neither parallel nor intersecting). Can you help me figure out Which pair (A or B) is
parallel and why that is the case?
A. L1: (vector)~r = (x,y,z)= (1 + 6t, 2 10t, 6 + 8t)
L2 : (vector) ~r = (x, y, z) = (9s + 7, 8 + 15s, 14 12s)
B. L1:Vector) ~r = (x, y, z) = (1 + 6t, 2 10t, 6 + 8t)
L2:(vector) ~r = (x, y, z) = (2 + 6s, 4 10s, 12 + s)
(b) Are the pair of parallel lines you chose in (a) really the same line? Or are they different? Explain
what the logic is for this?
(c) For the line L2 in pair "B" above, define a function whose image is L2- what is the
domain and codomain of the function; I can usearrow notation as a useful way to show this.
Thank you very much for all your help.
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