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I've got some questions regarding intersecting planes in three dimensional space.
1) When trying to find the equation of the line at the intersection of two planes, does equating a variable to zero in both equations work in all situations?
2) I found a small blurb in my textbook about another method for finding the equation of this intersection, but it didn't really go into much detail. Here is what is said:
"Another way to find the line of intersection is to solve the equation of the planes for two of the variables in terms of the third, which can be taken as the parameter."
Thanks in advance for any assistance.
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This page may be of some help.
This example may also be referred, if necessary.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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