[" Find the vector equation of the plane "],[" through the points "(2,1-1)" and "(-1,3,4)" and "],[" perpendicular to the plane "x-2y+4z=10" ."]

Find the vector equation of the plane through the points (2, 1, -1) and (-1, 3, 4) and perpendicular to the plane x-y+4z=10.

Find the vector equation of the plane through the points (2, 1, -1) and (-1, 3, 4) and perpendicular to the plane x-y+4z=10.

Find the vector equation of the plane throught the points (2,1,-1) and (-1,3,4) and perpendicular to the plane x-2y+4z=10 .

Find the equation of the plane through the points (2, 1,-1) and (-1, 3, 4) and perpendicular to the plane x - 2y + 4z = 10.

Find the eqauation of the plane through the points (2, 1, -1) and (-1, 3, 4) and perpendicualr to the plane x-2y+4z=10.

Find the vector equation of the plane passing through the points (2,1,-1) and (-1,3,4) and perpendicular to the plane x-2y+4z=10. Also show that the plane thus obtained contains the line vec r=-hat i+3hat j+4hat k+lambda(3hat i-2hat j-5hat k)

Find the equation of the plane through the points (2,1,1) and (1,3,4) and perpendicular to the plane x-2y+4z=10 .