Question

Find the point of intersection of the line passing through (1,-3,1) and (3,-4,2) and the plane given by x-y+z=2?

Answer 1

The line and the plane do not intersect.

Step-by-step explanation:

To find the point of intersection between a line and a plane, we can substitute the coordinates of the line into the equation of the plane and solve for the unknown variable.

Given the line passing through (1,-3,1) and (3,-4,2) and the plane given by x-y+z=2, we substitute the x, y, and z coordinates of the line into the equation of the plane as follows:

(1)-(-3)+(1)=2

4+1=2

This is not a true statement, which means that the line and the plane do not intersect. Therefore, there is no point of intersection.