Question

Find the point of intersection of the given plane and the line that is perpendicular to the given plane and passes through (6, 2, 7).

Answer 1

To find the point of intersection between a given plane and a line perpendicular to that plane, we use the concept of dot product and parametric equations.

Step-by-step explanation:

To find the point of intersection between a given plane and a line perpendicular to that plane, we need to use the concept of dot product and parametric equations.

1. First, we find the equation of the plane using the given information.
2. Next, we find the equation of the line perpendicular to the plane passing through the given point (6, 2, 7).
3. Then, we set the equation of the line equal to the equation of the plane and solve for the coordinates of the point of intersection.

Using these steps, we can find the point of intersection between the given plane and the line passing through (6, 2, 7).

Answer 2

perpendicular to the given plane and passes through (6, 2, 7).