Question 1301d

Vectors II: Lines and Planes
Relationship between Point and Line

Question

Given the point P(−4,16,−5){P \left( - 4, 16, - 5 \right)} and the line
l:r=(545)+λ(3−44),  λ∈R,l: \mathbf{r} = \begin{pmatrix} 5 \\ 4 \\ 5 \end{pmatrix} + \lambda \begin{pmatrix} 3 \\ - 4 \\ 4 \end{pmatrix}, \; \lambda \in \mathbb{R},
does P(−4,16,−5){P \left( - 4, 16, - 5 \right)} lie on l?{l?}

Attempt

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Answer

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