Given two force vectors, find out whether they are parallel, perpendicular or neither. Let the first vector be A = a1 i +a2 j + a3 k and the second vector be B = b1 i + b2 j + b3 k.
A.B = a1*b1 + a2*b2 + a3*b3
A x B = (a2*b3 - a3*b2) i - (a1*b3 - b1*a3) j + (a1*b2 - a2*b1) k
|A|^2 = a1^2 + a2^2 + a3^2
If A.B = 0, then A and B are perpendicular.
If |A X B|^2 = 0, then A and B are parallel.
The first line of input takes the number of test cases, T. Then T test cases follow. Each test case has 2 input lines.The first line of each test case takes 3 space separated integers representing the components of the first force vector in x, y and z directions. The second line of each test case takes 3 space separated integers representing the components of the second force vector in x, y and z directions.
Print 1 if the 2 vectors are parallel, 2 in case they are perpendicular, 0 otherwise.
3 2 1
6 4 2
4 6 1
1 -1 2
10 9 5
2 6 1