- #1

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## Homework Statement

sketch r(t) = (-T+1)i + (4T+2)j + (2T+3)k

## The Attempt at a Solution

I have a vector <-1,4,2> and a point (-1,-2,-3)

x= -1(t)+(-1)

y = 4(t)+(-2)

z = 2(t) +(-3)

and solve for t in terms of x

x = -t -1

t = -1-x

and rewrite the y and z expressions in terms of x

y = 4(-1-x) -2

z = 2(-1-x) -3

y= -4x-6

z = -2x -5

I graph y = -4x-6

and z = -2x -5 (i have no idea how to get a single expression out of these or how to address the problem of graphing r(t) without going through this process (should I just pick values for T (e.g t = 0, t = -1, t =1 etc... this is a rather tedious way to do this)

I end up getting two separate lines, where obviously there is just a single line