Question 1301d

Vectors II: Lines and Planes
Relationship between Point and Line

Question

Given the point P(4,−4,−1){P \left( 4, - 4, - 1 \right)} and the line
l:r=(−310)+λ(−513),  λ∈R,l: \mathbf{r} = \begin{pmatrix} - 3 \\ 1 \\ 0 \end{pmatrix} + \lambda \begin{pmatrix} - 5 \\ 1 \\ 3 \end{pmatrix}, \; \lambda \in \mathbb{R},
does P(4,−4,−1){P \left( 4, - 4, - 1 \right)} lie on l?{l?}

Attempt

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Answer

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