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burhan101
 2 years 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]
burhan101
 2 years 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]

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burhan101
 2 years ago
Best ResponseYou've already chosen the best response.0And how do you figure it out?

completeidiot
 2 years ago
Best ResponseYou've already chosen the best response.1you could just determine the line equation y(x), through substitution

completeidiot
 2 years ago
Best 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

burhan101
 2 years ago
Best ResponseYou've already chosen the best response.0by elimination ? @completeidiot

sami21
 2 years ago
Best ResponseYou've already chosen the best response.0look for the coefficients of parallel vector. if they are same means either same line or parallel

burhan101
 2 years ago
Best ResponseYou've already chosen the best response.0@sami21 what do you mean ?

sami21
 2 years ago
Best ResponseYou've already chosen the best response.0look the coefficients of parameter t . each line in space has parallel vector to describe it . so if the vectors are same then lts same .

sami21
 2 years ago
Best ResponseYou've already chosen the best response.0in 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

burhan101
 2 years ago
Best ResponseYou've already chosen the best response.0im trying to understand it :S

sami21
 2 years ago
Best ResponseYou've already chosen the best response.0well, 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 .

burhan101
 2 years ago
Best ResponseYou've already chosen the best response.0Like how do i compare the parametric equations of A and B. Is there something i sub in ?

completeidiot
 2 years ago
Best ResponseYou've already chosen the best response.1no i meant solve for t... x=1+4t x1=4t t=(x1)/4 y=83t y=83((x1)/4)
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