Consider x1,y1,x2 and y2 be nonzero vetors in R3 with property that x1 and y1 are linearly independent and so are x2 and y2. Consider the two planes in R3 :
P1 = (x1,y1)
P2= (x2,y2)
Assume we want to find the nonzero vector v in R3 which lies in intersection P=P1 interection with P2.
Write the method for solving problem by reducing it to computation of QR factorizations of three 3*2 matrix.