Find the vector equation of the plane passing through three points with position vectors ` hat i+ hat j-2hatk, 2hat i-\ hat j+ hat k` and ` hat i+2 hat j+ hat kdot` Also find the coordinates of the point of intersection of this plane and the line ` vec r=3 hat i-\ hat j- hat k+lambda(2 hat i-\ 2 hat j+ hat k)dot`