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

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

burhan101
 one year ago
Best ResponseYou've already chosen the best response.0@completeidiot how ?

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

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

sami21
 one year 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
 one year 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
 one year ago
Best ResponseYou've already chosen the best response.0im trying to understand it :S

sami21
 one year 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
 one year 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
 one year 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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