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Which line is the same as [x, y]=[1, 8] + t[ 4,3]?
A [x, y] =[2, 4] +t[4, 3]
B [x, y] =[13, 17]+t[8, 6]
 one year ago
 one year ago
Which line is the same as [x, y]=[1, 8] + t[ 4,3]? A [x, y] =[2, 4] +t[4, 3] B [x, y] =[13, 17]+t[8, 6]
 one year ago
 one year ago

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burhan101Best ResponseYou've already chosen the best response.0
And how do you figure it out?
 one year ago

completeidiotBest ResponseYou've already chosen the best response.1
you could just determine the line equation y(x), through substitution
 one year ago

burhan101Best ResponseYou've already chosen the best response.0
@completeidiot how ?
 one year ago

completeidiotBest ResponseYou've already chosen the best response.1
[x, y]=[1, 8] + t[ 4,3] x=1+4t y=83t solve for t for one of the equations, then substitute
 one year ago

burhan101Best ResponseYou've already chosen the best response.0
by elimination ? @completeidiot
 one year ago

sami21Best ResponseYou've already chosen the best response.0
look for the coefficients of parallel vector. if they are same means either same line or parallel
 one year ago

burhan101Best ResponseYou've already chosen the best response.0
@sami21 what do you mean ?
 one year ago

sami21Best ResponseYou've already chosen the best response.0
look the coefficients of parameter t . each line in space has parallel vector to describe it . so if the vectors are same then lts same .
 one year ago

sami21Best ResponseYou've already chosen the best response.0
in other words i am saying compare following x=1+4t y=83t with A x=24t y=4+3t and B x=13+8t y=176t
 one year ago

burhan101Best ResponseYou've already chosen the best response.0
im trying to understand it :S
 one year ago

sami21Best ResponseYou've already chosen the best response.0
well, let me show you how B is same as the given line. each line in the space requires one point and vector to completely define it the coefficients of the t represents that vector so if the coefficients of the t are same or scalar multiple of some number then lines are definitely same . so the vector parallel to given line is (coefficients of t ) v1=<4,3> vector paralel to line A (coefficients of t ) vA=<4,3> vector parallel to line B (coefficients of t ) vB=<8,6> you can see that the vetor Vb parallel to line B is 2 times the vector parallel to given line vB=2v1 it means given line and line B are identical. Hope its clear now .
 one year ago

burhan101Best ResponseYou've already chosen the best response.0
Like how do i compare the parametric equations of A and B. Is there something i sub in ?
 one year ago

completeidiotBest ResponseYou've already chosen the best response.1
no i meant solve for t... x=1+4t x1=4t t=(x1)/4 y=83t y=83((x1)/4)
 one year ago
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