Find the position vector of the point of intersection of the line

x→= ⎛⎝⎜⎜⎜28110⎞⎠⎟⎟⎟ +t ⎛⎝⎜⎜⎜-120-1⎞⎠⎟⎟⎟

and the plane

x→= ⎛⎝⎜⎜⎜-253-18⎞⎠⎟⎟⎟ +λ⎛⎝⎜⎜⎜-10-2-1⎞⎠⎟⎟⎟ +μ⎛⎝⎜⎜⎜-130-9⎞⎠⎟⎟⎟

The syntax for entering the column vector ⎛⎝⎜⎜⎜abc⎞⎠⎟⎟⎟ is < a,b,c > .