Find the nonzero vector which lies in intersection


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.

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Mathematics: Find the nonzero vector which lies in intersection
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