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Can someone solve this Linear Algebra question with as much explanation for the steps as po ...
Can someone solve this Linear Algebra question with as much explanation for the steps as possible please.
9. (9 points) Consider the line \( L_{1}:\left\{\begin{array}{l}x=1+t \\ y=2+t \\ z=1-t\end{array}\right. \), and the point \( A(2,3,-6) \) (a) Find the point on \( L_{1} \), which is closest to the point \( A \). (b) Find the distance between the line \( L_{1} \), and the point \( A \). (c) Find the equation of the plane that contains the line \( L_{1} \), and the point \( B(1,2,2) \).