Calculus III Write the equation of the plane

shinobi12
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Homework Statement



Write the equation of the plane that contains the following two parrallel lines

R(t) = <1,0,3> + t<1,,4,-2> and E(t) = <2,3,0> + t<1,4,-2>


Homework Equations





The Attempt at a Solution



I tried parameterizing of the equations that didnt seem to work. Please Help.
 
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try finding a line that connects to some point on R(t) and E(t), you know that also falls on the plane. you also know that these two parallel lines fall on the plane. That should give you enough information to get z in terms of x and y, thus determining a plane.

~Lyuokdea
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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