Question 1301d

Vectors II: Lines and Planes
Relationship between Point and Line

Question

Given the point P(−14,−7,11){P \left( - 14, - 7, 11 \right)} and the line
l:r=(−555)+λ(33−2),  λ∈R,l: \mathbf{r} = \begin{pmatrix} - 5 \\ 5 \\ 5 \end{pmatrix} + \lambda \begin{pmatrix} 3 \\ 3 \\ - 2 \end{pmatrix}, \; \lambda \in \mathbb{R},
does P(−14,−7,11){P \left( - 14, - 7, 11 \right)} lie on l?{l?}

Attempt

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Answer

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