Find the vector and cartesian equations of the plane passing through the points (2,5,-3),(-2,-3,5) and (5,3,-3). Also ,find the point of intersection of this plane with the line passing through points (3,1,5) and (-1,-3,-1)
Equation of plane passing through three points
Vector Equation of plane
cartesian equation
hence going through 2 points (3,1,5) and (-1,-3,-1)
Difference between 2points (-4,-4,-6)
so
and plane
Intersection points