lilmariaangirl lilmariaangirl
  • 10-01-2017
  • Mathematics
contestada

Find a parametrization of the vertical line passing through the point (−9, −3, 9) using t=z as a parameter.

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LammettHash
LammettHash LammettHash
  • 10-01-2017
[tex]\mathbf x(t)=\langle -9,-3,t\rangle[/tex]

should do it. The [tex]x[/tex] and [tex]y[/tex] coordinates of any point on the line are fixed, and since only the [tex]z[/tex] coordinate changes, this line is vertical. And of course, when [tex]t=9[/tex], the line passes through the point [tex](-9,-3,9)[/tex].
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