- #1
Hernaner28
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Homework Statement
Let the point A and v1,v2,v3 non-coplanar vectors.
Let the plane
[tex]{\pi _1})P=A+{\lambda _1}{v_1}+{\lambda _2}{v_2}[/tex]
Consider any vector u non-colinear with v3 and the plane:
[tex]{\pi _2})P=A+{\lambda _3}{v_3}+{\lambda _4}u[/tex]
2. Task
Work out the equation of the line
[tex]r={\pi _1}\cap {\pi _2}[/tex]
The Attempt at a Solution
No idea how to start. I just know that the point A belongs to both planes and the point A belongs to a line with the equation form of: [tex]A+\lambda v[/tex] but I don't know what to do next.
Thanks!