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March 19, 2024, 02:12:14 pm

Author Topic: Cartesian Equation from Vector  (Read 1106 times)  Share 

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Dylstrosity2

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Cartesian Equation from Vector
« on: June 20, 2017, 12:00:06 pm »
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Hey,

How would I find the cartesian equation of a vector in the form r(t) = (6+3t^2)i + (7-t)j   ?

EulerFan102

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Re: Cartesian Equation from Vector
« Reply #1 on: June 21, 2017, 04:55:44 pm »
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How would I find the cartesian equation of a vector in the form r(t) = (6+3t^2)i + (7-t)j   ?

Hey, here's how I'd attack it  ;D
So since i is in the x-direction and j is in the y-direction, you can form the following equations:


From here, you can see that t=7-y, and then you can substitute that into your equation for x to get something purely in terms of x and y (rearrange if you want it as y in terms of x):

fred42

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Re: Cartesian Equation from Vector
« Reply #2 on: June 27, 2017, 05:07:44 pm »
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Don't forget the domain and range:

domain = [6,infinity);
range = (-inf,7]