iran-konkur 2020 Q155

iran-konkur · Other · konkur-riazi_1399_specialized_old-curriculum Vectors 3D & Lines Line-Plane Intersection
155 -- Suppose point $M$ is the intersection of the line passing through points $A(2,2,1)$ and $B(2,-1,5)$ with the plane $x + y + z = 1$. What is the distance from point $M$ to point $B$?
  • [(1)] $25$
  • [(2)] $27$
  • [(3)] $10\sqrt{5}$
  • [(4)] $5\sqrt{13}$

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\textbf{155 --} Suppose point $M$ is the intersection of the line passing through points $A(2,2,1)$ and $B(2,-1,5)$ with the plane $x + y + z = 1$. What is the distance from point $M$ to point $B$?

\begin{itemize}
\item[(1)] $25$
\item[(2)] $27$
\item[(3)] $10\sqrt{5}$
\item[(4)] $5\sqrt{13}$
\end{itemize}



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