Coplanarity Of Two Lines

Step 1: Use the condition for coplanarity.
Three vectors are coplanar if their scalar triple product is zero. Calculate the scalar triple product and set it equal to zero to solve for .
Step 2: Conclusion.
After performing the calculation, we find that . Final Answer:

Step 1: Coplanarity condition:
Step 2: Solving determinant gives .

Using the coplanarity condition of two lines and solving the determinant, we get α=1,2,5