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chrisplusian
 one year ago
Linear algebra..... When you have the equation of two lines how do you show that they are coincident? I realize that you must show that their directional vectors are either the same or scalar multiples, and then you must show a point is the same on one line. The part I don't understand is how you show the point is the same... See attachment
chrisplusian
 one year ago
Linear algebra..... When you have the equation of two lines how do you show that they are coincident? I realize that you must show that their directional vectors are either the same or scalar multiples, and then you must show a point is the same on one line. The part I don't understand is how you show the point is the same... See attachment

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IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1pick a point that definitely one 1 line, you do this by setting s or t to zero here they chose s = 0 and found t = 2 gives you the same point they couldhave set t = 0 and solved for s

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1so if we do set t to zero, we know that (1,3,4) is on line 1 is it on line 2 well solve (1,3,4) = (3,7,2) + s(3,6,3) => s = 2/3

chrisplusian
 one year ago
Best ResponseYou've already chosen the best response.0So this process always works in this type of problem? You just set either the t or s variable equal to zero and solve for the other variable? Does that imply that if you get value for s or t and plug it back in and it does not work out that they are not coincidental?

IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.1yes, in that case they are parallel but not coincident
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