11 The line \(l _ { 1 }\) passes through the points \(A ( 6,2,7 )\) and \(B ( 4 , - 3,7 )\)
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- Find a Cartesian equation of \(l _ { 1 }\)
11 - The line \(l _ { 2 }\) has vector equation \(\mathbf { r } = \left[ \begin{array} { l } 8
9
c \end{array} \right] + \mu \left[ \begin{array} { l } 1
1
2 \end{array} \right]\) where \(c\) is a constant.
11 - Explain how you know that the lines \(l _ { 1 }\) and \(l _ { 2 }\) are not perpendicular.
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- (ii) The lines \(l _ { 1 }\) and \(l _ { 2 }\) both lie in the same plane.
Find the value of \(c\)