Question

The plane passing through the points (1, 2, 1), (2, 1, 2) and parallel to the line, 2x = 3y, z = 1 also passes through the point :

(1) (0, 6, –2)
(2) (–2, 0, 1)
(3) (0, –6, 2)
(4) (2, 0, –1)

Answer 1

To find the equation of the plane passing through the given points and parallel to the given line, use the formula for the equation of a plane.

Step-by-step explanation:

To find the equation of the plane passing through the given points and parallel to the given line, we need to use the formula for the equation of a plane.

The equation of a plane is given by Ax + By + Cz = D, where A, B, and C are the coefficients of x, y, and z respectively, and D is a constant.

Using the given points, we can plug in the values and create a system of equations to solve for A, B, C, and D. Once we have the values for A, B, C, and D, we can write the equation of the plane.