Skip to main content
Mathematics

Return to Question

edited tags
Link
Michael Rozenberg
Michael Rozenberg
  • 1
  • 32
  • 172
  • 295
added 14 characters in body
Source Link
cqfd
cqfd
  • 13.2k
  • 6
  • 26
  • 54

Let us consider two planes with equations:

P1 : x + 2y + 3z = 3$P_1 : x + 2y + 3z = 3$ and P2 : 2x-y = 5$P_2 : 2x-y = 5$

By substituting x$x$ as 0$0$, can I say that the point (0,-5,13/3)$(0,-5,13/3)$ lies on the line of intersection of two planes?

And if if I find that the direction vector of the line of intersection is (3,5,-5)$(3,5,-5)$, Can iI say that the equation of the line of intersection of two planes is (0,-5,13/3) + t(3,5,-5)$(0,-5,13/3) + t(3,5,-5)$ ?

Let us consider two planes with equations:

P1 : x + 2y + 3z = 3 and P2 : 2x-y = 5

By substituting x as 0, can I say that the point (0,-5,13/3) lies on the line of intersection of two planes?

And if if find that the direction vector of the line of intersection is (3,5,-5), Can i say that the equation of the line of intersection of two planes is (0,-5,13/3) + t(3,5,-5) ?

Let us consider two planes with equations:

$P_1 : x + 2y + 3z = 3$ and $P_2 : 2x-y = 5$

By substituting $x$ as $0$, can I say that the point $(0,-5,13/3)$ lies on the line of intersection of two planes?

And if I find that the direction vector of the line of intersection is $(3,5,-5)$, Can I say that the equation of the line of intersection of two planes is $(0,-5,13/3) + t(3,5,-5)$ ?

Source Link
user620251
user620251

A point on the Line of intersection of two planes

Let us consider two planes with equations:

P1 : x + 2y + 3z = 3 and P2 : 2x-y = 5

By substituting x as 0, can I say that the point (0,-5,13/3) lies on the line of intersection of two planes?

And if if find that the direction vector of the line of intersection is (3,5,-5), Can i say that the equation of the line of intersection of two planes is (0,-5,13/3) + t(3,5,-5) ?