Concurrent Parametrizations
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I'm currently working on a problem. I have found the parametrizations of 5 lines using position vectors, so in the form of $overrightarrow{Q} = (1-s) overrightarrow{B} + s overrightarrow{T}.$
How would I go about proving that these parametric lines are concurrent? I have them graphed in GeoGebra, and they are. In addition, how would I find the point of concurrency?
Thank you!
geometry parametric
asked Nov 24 '18 at 21:40
user588857user588857
285
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add a comment |
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I'm currently working on a problem. I have found the parametrizations of 5 lines using position vectors, so in the form of $overrightarrow{Q} = (1-s) overrightarrow{B} + s overrightarrow{T}.$
How would I go about proving that these parametric lines are concurrent? I have them graphed in GeoGebra, and they are. In addition, how would I find the point of concurrency?
Thank you!
geometry parametric
asked Nov 24 '18 at 21:40
user588857user588857
285
$endgroup$
$begingroup$
One way: pick one, represent is as the intersection of two planes and then show that the rest of the parameterizations satisfy the two equations.
$endgroup$
– amd
Nov 24 '18 at 22:01
add a comment |
$begingroup$
I'm currently working on a problem. I have found the parametrizations of 5 lines using position vectors, so in the form of $overrightarrow{Q} = (1-s) overrightarrow{B} + s overrightarrow{T}.$
How would I go about proving that these parametric lines are concurrent? I have them graphed in GeoGebra, and they are. In addition, how would I find the point of concurrency?
Thank you!
geometry parametric
asked Nov 24 '18 at 21:40
user588857user588857
285
$endgroup$
I'm currently working on a problem. I have found the parametrizations of 5 lines using position vectors, so in the form of $overrightarrow{Q} = (1-s) overrightarrow{B} + s overrightarrow{T}.$
How would I go about proving that these parametric lines are concurrent? I have them graphed in GeoGebra, and they are. In addition, how would I find the point of concurrency?
Thank you!
geometry parametric
geometry parametric
asked Nov 24 '18 at 21:40
user588857user588857
285
asked Nov 24 '18 at 21:40
user588857user588857
285
asked Nov 24 '18 at 21:40
user588857user588857
285
asked Nov 24 '18 at 21:40
user588857user588857
285
asked Nov 24 '18 at 21:40
user588857user588857
285
285
$begingroup$
One way: pick one, represent is as the intersection of two planes and then show that the rest of the parameterizations satisfy the two equations.
$endgroup$
– amd
Nov 24 '18 at 22:01
add a comment |
$begingroup$
One way: pick one, represent is as the intersection of two planes and then show that the rest of the parameterizations satisfy the two equations.
$endgroup$
– amd
Nov 24 '18 at 22:01
$begingroup$
One way: pick one, represent is as the intersection of two planes and then show that the rest of the parameterizations satisfy the two equations.
$endgroup$
– amd
Nov 24 '18 at 22:01
$begingroup$
One way: pick one, represent is as the intersection of two planes and then show that the rest of the parameterizations satisfy the two equations.
$endgroup$
– amd
Nov 24 '18 at 22:01
add a comment |
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$begingroup$
One way: pick one, represent is as the intersection of two planes and then show that the rest of the parameterizations satisfy the two equations.
$endgroup$
– amd
Nov 24 '18 at 22:01