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]
Stacey Warren - Expert brainly.com
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And how do you figure it out?
you could just determine the line equation y(x), through substitution
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[x, y]=[1, -8] + t[ 4,-3]
solve for t for one of the equations, then substitute
by elimination ? @completeidiot
look for the coefficients of parallel vector.
if they are same means either same line or parallel
@sami-21 what do you mean ?
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 .
in other words i am saying compare following
did you get it ?
im trying to understand it :S
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 )
vector paralel to line A (coefficients of t )
vector parallel to line B (coefficients of t )
you can see that
the vetor Vb parallel to line B is 2 times the vector parallel to given line
it means given line and line |B are identical.
Hope its clear now .
Like how do i compare the parametric equations of A and B. Is there something i sub in ?
no i meant solve for t...