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Find a Set of Parametric Equations of the Line (4,6,5)( 4,6,5 )

Question 56

Multiple Choice

Find a set of parametric equations of the line.
Passes through (4,6,5) ( 4,6,5 ) and is perpendicular to 3x+6yz=63 x + 6 y - z = 6 .


A) x=4+3ty=6+6tz=5+t\begin{array} { l } x = 4 + 3 t \\y = 6 + 6 t \\z = 5 + t\end{array}
B) x=4+3ty=6+6tz=5t\begin{array} { l } x = 4 + 3 t \\y = 6 + 6 t \\z = - 5 - t\end{array}
C) x=43ty=66tz=5t\begin{array} { l } x = 4 - 3 t \\y = 6 - 6 t \\z = 5 - t\end{array}
D) x=4+3ty=6+6tz=5t\begin{array} { l } x = 4 + 3 t \\y = 6 + 6 t \\z = 5 - t\end{array}
E) x=4+3ty=66tz=5t\begin{array} { l } x = 4 + 3 t \\y = 6 - 6 t \\z = 5 - t\end{array}

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