Find the point of intersection of the lines x = t, y = -t + 2, z = t + 1, and x = 2s + 2, y = s + 3, z = 5s + 6, and then find the plane determined by these lines.
Given lines are x = t, y = -t + 2, z = t + 1, and x = 2s + 2, y = s + 3, z = 5s + 6
Set the x and y ordinates equal to find s and t.
Plug t= 2s+2 in -t+2=s+3 and solve for s. Then find t
Plug t=0 in x = t, y = -t + 2, z = t + 1 to ...
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