Class 12

Math

3D Geometry

Three Dimensional Geometry

Find the equation of the plane through the points $A(2,1,−1)$ and $B(−1,3,4)$ and perpendicular to the plane $x−2y+4z=10$. Also, show that the plane thus obtained contains the line.

$r=(−i^+3j^ +4k^)+λ(3i^−2j^ −5k^)$.