Question

Find an equation of the plane passing through the point perpendicular to the given vector or line.

Point                                                                            Perpendicular to

(3, 2, 2)                                                                         n = 2i + 3j - k

 

Answer 1

Step 1:

The point is .

The vector equation is .

The normal vector is .

The plane equation passes through point and perpendicular to is

.

Substitute and in

.

The plane equation is .

Solution:

The plane equation is .