Answer:
x - 2y + 5z = 0
Explanation:
The standard equation is of the form, Ax + By + Cz = 0
The equation of the plane that passes through the origin(0, 0, 0) and is perpendicular to [1, -2, 5] is
A = 1, B = -2, C = 5
x = y = z = 0 (at origin)
A(x-0) + B(y-0) + C(z-0) = 0
(x - 0) -2(y-0) + 5(z-0) = 0
x - 2y + 5z = 0