Final answer:
To find the equation of a plane containing a given point and perpendicular to a given line, follow these steps: find the direction vector of the line, find a vector perpendicular to the line, and use the perpendicular vector to find the equation of the plane.
Step-by-step explanation:
To find the equation of a plane containing a given point and perpendicular to a given line, we need to follow these steps:
- First, find the direction vector of the given line.
- Next, find a vector that is perpendicular to the given line. This can be done by taking the cross product of the direction vector of the line with any other vector.
- Once you have the perpendicular vector, you can use it to find the equation of the plane by substituting the coordinates of the given point and the equation of the perpendicular vector into the equation of a plane, which is Ax + By + Cz = D
Let me know if you need help with any of the steps or if you have any other questions!