The discussion focuses on finding the Cartesian equations of the line of intersection of the planes defined by the equations x + 3y - 6z = 2 and 2x + 7y - 3z = 7. The initial approach involved using the cross product, resulting in the vector 33i - 9j + k. However, the user found the results confusing and was advised to solve the system of equations using a more straightforward method. Ultimately, the user successfully solved the problem after receiving feedback.
PREREQUISITESStudents studying linear algebra, mathematics educators, and anyone interested in understanding the intersection of planes in three-dimensional space.
What do you mean by weird? In any case, your method, at least to me, seems to be a bit of overkill. Why not just solve the system of equations the usual way?ezsmith said:Homework Statement
Find cartesian equations of the line of intersection of the planes x+3y-6z =2 and 2x+7y-3z=7
The Attempt at a Solution
What I did first was I cross product the 2 equation and then I got 33i-9j+k
Then I took both of the equation and let y = 0. After that my answer seems to be weird.. Did I did anything wrong? The answer of the book was given ∴x+7/33 = y-3/-9 = z
vela said:What do you mean by weird? In any case, your method, at least to me, seems to be a bit of overkill. Why not just solve the system of equations the usual way?